In memory of Josef Král

Jaroslav Lukeš; Ivan Netuka; Jiří Veselý

Mathematica Bohemica (2006)

  • Volume: 131, Issue: 4, page 427-448
  • ISSN: 0862-7959

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Lukeš, Jaroslav, Netuka, Ivan, and Veselý, Jiří. "In memory of Josef Král." Mathematica Bohemica 131.4 (2006): 427-448. <http://eudml.org/doc/32608>.

@article{Lukeš2006,
author = {Lukeš, Jaroslav, Netuka, Ivan, Veselý, Jiří},
journal = {Mathematica Bohemica},
language = {eng},
number = {4},
pages = {427-448},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {In memory of Josef Král},
url = {http://eudml.org/doc/32608},
volume = {131},
year = {2006},
}

TY - JOUR
AU - Lukeš, Jaroslav
AU - Netuka, Ivan
AU - Veselý, Jiří
TI - In memory of Josef Král
JO - Mathematica Bohemica
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 131
IS - 4
SP - 427
EP - 448
LA - eng
UR - http://eudml.org/doc/32608
ER -

References

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  1. Der Greensche Satz, Czech. Math. J. 7 (1957), 235–247 (with J. Mařík). (1957) Zbl0093.06102MR0088568
  2. On curvilinear integrals in the plane, Czech. Math. J. 7 (1957), 584–598. (Russian) (1957) Zbl0089.27202MR0131523
  3. Transformation of the Stieltjes-Lebesgue integral, Czech. Math. J. 8 (1958), 86–93 (with J. Marek). (Russian) (1958) 
  4. On Lipschitzian mappings from the plane into Euclidean spaces, Czech. Math. J. 8 (1958), 257–266. (1958) Zbl0085.04403MR0101905
  5. Note on the Gauss-Ostrogradskij formula, Cas. Pest. Mat. 84 (1959), 283–292. (Czech) (1959) MR0121452
  6. Note on strong generalized jacobians, Czech. Math. J. 9 (1959), 429–439. (1959) Zbl0095.26804MR0109873
  7. Closed systems of mappings and the surface integral, Czech. Math. J. 10 (1960), 27–67. (Russian) (1960) Zbl0100.28103MR0121464
  8. To the problem No. 2 proposed by J. Mařík, Cas. Pest. Mat. 85 (1960), 205. (Czech) (1960) 
  9. Note on the sets whose characteristic function has a generalized measure for its partial derivative, Cas. Pest. Mat. 86 (1961), 178–194. (Czech) (1961) MR0136697
  10. Note on perimeter of the Cartesian product of two sets, Cas. Pest. Mat. 86 (1961), 261–268. (Czech) (1961) Zbl0105.27003MR0132157
  11. On a problem concerning area of a convex surface, Cas. Pest. Mat. 86 (1961), 277–287. (Czech) (1961) MR0132513
  12. On Lebesgue area of simple closed surfaces, Czech. Math. J. 12 (1962), 44–68. (Russian) (1962) MR0147620
  13. Note on the Stokes formula for 2-dimensional integrals in n -space, Mat.-fyz. Cas. Slov. Akad. Vied 12 (1962), 280–292 (with B. Riečan). (1962) Zbl0147.04601MR0160868
  14. Note on sequences of integrable functions, Czech. Math. J. 13 (1963), 114–126 (with J. Jelínek). (1963) Zbl0112.28503MR0152619
  15. A note on perimeter and measure, Czech. Math. J. 13 (1963), 139–147. (1963) Zbl0116.27303MR0151579
  16. Note on linear measure and the length of path in a metric space, Acta Univ. Carol., Math. Phys. 1 (1963), 1–10. (Czech) (1963) 
  17. Some inequalities concerning the cyclic and radial variations of a plane path-curve, Czech. Math. J. 14 (1964), 271–280. (1964) Zbl0151.16101MR0180689
  18. On the logarithmic potential of the double distribution, Czech. Math. J. 14 (1964), 306–321. (1964) Zbl0137.30201MR0180690
  19. Non-tangential limits of the logarithmic potential, Czech. Math. J. 14 (1964), 455–482. (1964) Zbl0137.30301MR0180691
  20. The Fredholm radius of an operator in potential theory I, Czech. Math. J. 15 (1965), 454–473. (1965) MR0190363
  21. The Fredholm radius of an operator in potential theory II, Czech. Math. J. 15 (1965), 565–588. (1965) MR0190363
  22. 10.1090/S0002-9947-1966-0209503-0, Trans. Amer. Math. Soc. 125 (1966), 511–547. (1966) Zbl0149.07906MR0209503DOI10.1090/S0002-9947-1966-0209503-0
  23. Smooth functions with infinite cyclic variation, Cas. Pest. Mat. 93 (1968), 178–185. (Czech) (1968) MR0235081
  24. Flows of heat and the Fourier problem, Czech. Math. J. 20 (1970), 556–598. (1970) Zbl0213.38203MR0271554
  25. On the modified logarithmic potential, Czech. Math. J. 21 (1971), 76–98 (with J. Lukeš). (1971) Zbl0213.38301MR0277740
  26. Elliptic points in one-dimensional harmonic spaces, Commentat. Math. Univ. Carol. 12 (1971), 453–483 (with J. Lukeš, I. Netuka). (1971) Zbl0222.31018MR0291493
  27. Functions satisfying an integral Lipschitz condition, Acta Univ. Carol., Math. Phys. 12 (1971), 51–54. (1971) MR0318420
  28. Integrals of the Cauchy type, Czech. Math. J. 22 (1972), 663–682 (with J. Lukeš). (1972) Zbl0244.31001
  29. Indefinite harmonic continuation, Cas. Pest. Mat. 98 (1973), 87–94 (with J. Lukeš). (1973) Zbl0251.31011MR0320355
  30. Removable singularities of solutions of semielliptic equations, Rend. Mat. 6 (1973), 763–783. (1973) MR0355289
  31. Brelot spaces on one-dimensional manifolds, Cas. Pest. Mat. 99 (1974), 179–185 (with J. Lukeš). (Czech) (1974) Zbl0276.31010MR0369720
  32. An example of a harmonic sheaf, Cas. Pest. Mat. 101 (1976), 98–99. (Czech) (1976) MR0464148
  33. To a mathematical problem on hair, Cas. Pest. Mat. 101 (1976), 305–307. (Czech) (1976) MR0445467
  34. On boundary behaviour of double-layer potentials, Trudy Seminara S. L. Soboleva, Akad. Nauk Novosibirsk, Novosibirsk, 1976, pp. 19–34. (Russian) (1976) 
  35. Contractivity of C. Neumann’s operator in potential theory, J. Math. Anal. Appl. 61 (1977), 607–619 (with I. Netuka). (1977) Zbl0372.31004MR0508010
  36. Analytic capacity and linear measure, Czech. Math. J. 28 (1978), 445–461 (with J. Fuka). (1978) Zbl0394.30013MR0492224
  37. Heat sources and heat potentials, Cas. Pest. Mat. 105 (1980), 184–191 (with S. Mrzena). (1980) Zbl0433.31003MR0573110
  38. Integral Operators in Potential Theory, Lect. Notes Math., vol. 823, Springer, 1980, pp. 171. (1980) Zbl0431.31001MR0590244
  39. Singularities of solutions of partial differential equations, Trudy Seminara S. L. Soboleva, Akad. Nauk Novosibirsk, Novosibirsk, 1983, pp. 78–89. (Russian) (1983) Zbl0544.35006MR0738989
  40. Some extension results concerning harmonic functions, J. London Math. Soc. 28 (1983), 62–70. (1983) Zbl0526.31003MR0703465
  41. A note on continuity principle in potential theory, Commentat. Math. Univ. Carol. 25 (1984), 149–157. (1984) Zbl0562.31009MR0749123
  42. Semielliptic singularities, Cas. Pest. Mat. 109 (1984), 304–322. (1984) Zbl0556.35018MR0755597
  43. Note on generalized multiple Perron integral, Cas. Pest. Mat. 110 (1985), 371–374. (1985) Zbl0601.26008MR0820327
  44. Some examples concerning applicability of the Fredholm-Radon method in potential theory, Aplikace matematiky 31 (1986), 293–308 (with W. Wendland). (1986) Zbl0615.31005MR0854323
  45. Fine topology in potential theory and strict maxima of functions, Exposition. Math. 5 (1987), 185–191 (with I. Netuka). (1987) Zbl0657.31009MR0887793
  46. 10.1017/S0308210500018394, Proc. Roy. Soc. Edinburgh, Sect. A 106 (1987), 241–258. (1987) Zbl0644.31002MR0906210DOI10.1017/S0308210500018394
  47. On the applicability of the Fredholm-Radon method in potential theory and the panel method, Proceedings of the Third GAMM-Seminar Kiel 1987, Vieweg, Braunschweig, 1987, pp. 120–136 (with W. Wendland). Zbl0674.76006
  48. Layer potentials on boundaries with corners and edges, Cas. Pest. Mat. 113 (1988), 387–402 (with T. Angell, R. E. Kleinman). (1988) Zbl0697.31005MR0981880
  49. Problème de Neumann faible avec condition frontière dans  L 1 , Séminaire de Théorie du Potentiel, Paris, no. 9, Lect, Notes Math., vol. 1393, Springer, 1989, pp. 145–160. (1989) 
  50. Removable singularities of the functional wave equation, Z. Anal. Anwend. 8 (1989), 495–500 (with M. Chlebík). (1989) Zbl0712.39009MR1050090
  51. Extension results of the Radó type, Rev. Roumaine Math. Pures Appl. 36 (1991), 71–76. (1991) Zbl0753.35024MR1144536
  52. Poisson integrals of Riemann integrable functions, Amer. Math. Monthly 98 (1991), 929–931 (with W. F. Pfeffer). (1991) Zbl0743.31001MR1137540
  53. On the Neumann operator of the arithmetical mean, Acta. Math. Univ. Comenian. (N.S.) 61 (1992), 143–165 (with D. Medková). (1992) Zbl0830.31004MR1205868
  54. Removability of the wave singularities in the plane, Aequationes Math. 47 (1994), 123–142 (with M. Chlebík). (1994) Zbl0807.39009MR1268026
  55. 10.1007/BF01047839, Potential Anal. 3 (1994), 119–131. (1994) Zbl0825.31005MR1266221DOI10.1007/BF01047839
  56. Angular limits of double layer potentials, Czech. Math. J. 45 (1995), 267–292 (with D. Medková). (1995) Zbl0838.31006MR1331464
  57. Note on functions satisfying the integral Hölder condition, Math. Bohem. 121 (1996), 263–268. (1996) Zbl0863.26006MR1419879
  58. Reflection and a mixed boundary value problem concerning analytic functions, Math. Bohem. 122 (1997), 317–336 (with E. Dontová, M. Dont). (1997) Zbl0903.30028MR1600664
  59. Angular limits of the integrals of the Cauchy type, Czech. Math. J. 47 (1997), 593–617 (with D. Medková). (1997) Zbl0899.30027MR1479307
  60. On the Neumann-Poincaré operator, Czech. Math. J. 48 (1998), 653–668 (with D. Medková). (1998) Zbl0956.30018MR1658229
  61. Essential norms of a potential-theoretic boundary integral operator in  L 1 , Math. Bohem. 123 (1998), 419–436 (with D. Medková). (1998) MR1667114
  62. Essential norms of the Neumann operator of the arithmetical mean, Math. Bohem. 126 (2001), 669–690 (with D. Medková). (2001) Zbl0998.31003MR1869461
  63. Green’s theorem, Cas. Pest. Mat. 81 (1956), 476–479 (with M. Neubauer). (Czech) (1956) 
  64. Transformations of multidimensional integrals, Cas. Pest. Mat. 83 (1958), 365–368. (Czech) (1958) 
  65. On Lebesgue area of closed surfaces, Czech. Math. J. 9 (1959), 470–471. (Russian) (1959) MR0111822
  66. On r -dimensional integrals in ( r + 1 ) -space, Czech. Math. J. 11 (1961), 626–628. (1961) Zbl0191.05904MR0132146
  67. On the logarithmic potential, Commentat. Math. Univ. Carol. 3 (1962), 3–10. (1962) Zbl0105.06001MR0159008
  68. On cyclic and radial variations of a plane path, Commentat. Math. Univ. Carol. 4 (1963), 3–9. (1963) Zbl0147.09804MR0159930
  69. On angular limit values of Cauchy-type integrals, Dokl. Akad. Nauk SSSR 155 (1964), 32–34. (Russian) (1964) MR0159931
  70. Integration with respect to Hausdorff measure on a smooth surface, Cas. Pest. Mat. 89 (1964), 433–447 (with J. Mařík). (Czech) (1964) MR0181730
  71. On double-layer potential in multidimensional space, Dokl. Akad. Nauk SSSR 159 (1964), 1218–1220. (Russian) (1964) MR0176210
  72. Potential Theory I, Státní pedagogické nakladatelství, Praha, 1965, pp. 159 (Lecture Notes). (Czech) (1965) 
  73. On the Neumann problem in potential theory, Commentat. Math. Univ. Carol. 7 (1966), 485–493. (1966) Zbl0148.09802MR0209502
  74. Flows of heat, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 46 (1969), 140–143. (1969) Zbl0175.11202MR0254440
  75. Limits of double layer potentials, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 48 (1970), 39–42. (1970) Zbl0223.31002MR0274788
  76. Hölder-continuous heat potentials, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 51 (1971), 17–19. (1971) Zbl0235.35040MR0308593
  77. To the problem No. 4 proposed by I. Babuška, Cas. Pest. Mat. 97 (1972), 207–208. (Czech) (1972) 
  78. Problem No. 1 (on semiregular sets), Cas. Pest. Mat. 97 (1972), 334. (Czech) (1972) 
  79. On removable singularities of solutions of the heat equation, Primenenie funkcionalnych metodov k krajevym zadacham matematicheskoj fiziki, Akad. Nauk Novosibirsk, Novosibirsk, 1972, pp. 103–106. (Russian) (1972) MR0382680
  80. Potential Theory II, Státní pedagogické nakladatelství, Praha, 1972, pp. 348 (with I. Netuka, J. Veselý—Lecture Notes). (Czech) (1972) 
  81. Regularity of potentials and removability of singularities of partial differential equations, Proceedings of the Conference Equadiff 3, J. E. Purkyně University, Brno, 1972, pp. 179–185. (1972) 
  82. A note on the Robin problem in potential theory, Commentat. Math. Univ. Carol. 14 (1973), 767–771. (1973) Zbl0265.31011MR0333219
  83. Nonlinear evolution equations and potential theory, Proceedings of a Summer School, Academia, Praha, 1975, pp. 145, editor. (1975) Zbl0316.00013MR0364825
  84. Potentials and removability of singularities, Nonlinear evolution equations and potential theory, Academia, Praha, 1975, pp. 95–106. (1975) Zbl0325.35011
  85. Potentials and boundary value problems, Proceedings of the Conference 5. Tagung über Probleme der Mathematischen Physik, Karl-Marx-Stadt, 1975, pp. 484–500. (1975) Zbl0386.31004MR0430272
  86. Singularités non essentielles des solutions des équations aux dérivées partielles, Séminare de Théorie du Potentiel, Paris (1972–74), Lect. Notes Math., vol. 518, Springer, 1976, pp. 95–106. (1976) Zbl0325.35012MR0509059
  87. An example to a converse of Green’s theorem, Cas. Pest. Mat. 101 (1976), 205–206. (Czech) (1976) MR0444869
  88. Potential Theory III, Státní pedagogické nakladatelství, Praha, 1976, pp. 216 (with I. Netuka, J. Veselý—Lecture Notes). (Czech) (1976) 
  89. Potential theory and Neumann’s method, Mitt. Math. Ges. DDR 3–4 (1976), 71–79. (1976) Zbl0349.31008
  90. Potential Theory IV, Státní pedagogické nakladatelství, Praha, 1977, pp. 304 (with I. Netuka, J. Veselý—Lecture Notes). (Czech) (1977) 
  91. Analytic capacity, Proceedings of the Conference Elliptische Differentialgleichungen, Rostock, 1977, pp. 133–142. (1977) Zbl0411.30002MR0540193
  92. On removability of singularities in solving differential equations and on Neumann’s principle, Materialy soveshchaniya po primeneniyu metodov teorii funkcij i funkcionalnogo analiza k zadacham matematicheskoj fiziki (Alma-Ata 1976), Akad. Nauk Novosibirsk, Novosibirsk, 1978, pp. 132–140. (Russian) (1978) 
  93. Estimates of analytic capacity, Zapiski nauchnych seminarov LOMI 81 (1978), 212–217. (1978) 
  94. Boundary behavior of potentials, Proceedings of the Conference Equadiff 4, Lect. Notes Math., vol. 703, Springer, 1979, pp. 205–212. (1979) Zbl0402.31010MR0535341
  95. Potential flows, Proceedings of the Conference Equadiff 5, Teubner-Texte zur Mathematik, vol. 47, Teubner, 1981, pp. 198–204. (1981) Zbl0484.76026
  96. Negligible values of harmonic functions, Proceedings Primenenie metodov teorii funkcij i funkcionalnogo analiza k zadacham matematicheskoj fiziki, Jerevan, 1982, pp. 168–173. (Russian) (1982) 
  97. Some extension problems, Linear and Complex Analysis Problem Book, Lect. Notes Math., vol. 1043, Springer, 1984, pp. 639–640. (1984) 
  98. A conjecture concerning subharmonic functions, Cas. Pest. Mat. 110 (1985), 415. (Czech) (1985) 
  99. Double layer potentials on boundaries with corners and edges, Commentat. Math. Univ. Carol. 27 (1986), 419 (with T. Angell, R. E. Kleinman). (1986) 
  100. In memory of Professor Marcel Brelot, Pokroky Mat. Fyz. Astronom. 33 (1988), 170–173 (with J. Lukeš, I. Netuka, J. Veselý). (Czech) (1988) MR0951841
  101. On weak normal derivative of the single-layer potential with integrable density, Proceedings Funkcionalnye i chislennye metody matematicheskoj fiziki, Kijev, 1988, pp. 107–110. (Russian) (1988) 
  102. Potential Theory—Surveys and Problems, Lect. Notes Math., vol. 1344, Springer, 1988, pp. 270 (co-editor with J. Lukeš, I. Netuka, J. Veselý). (1988) Zbl0662.31001MR0973877
  103. Proceedings of the Conference on Potential Theory, Plenum Publishing Company, New York, 1988, pp. 366 (co-editor with J. Lukeš, I. Netuka, J. Veselý). (1988) MR0986270
  104. Contractivity of the operator of the arithmetical mean, Proceedings Potential Theory—Surveys and Problems, Lect. Notes Math., vol. 1344, Springer, 1988, pp. 223–225 (with D. Medková). (1988) 
  105. Boundary regularity and potential-theoretic operators, Proceedings Potential Theory—Surveys and Problems, Lect. Notes Math., vol. 1344, Springer, 1988, pp. 220–222. (1988) 
  106. Fine maxima, Proceedings Potential Theory—Surveys and Problems, Lect. Notes Math., vol. 1344, Springer, 1988, pp. 226–228 (with I. Netuka). (1988) MR0973877
  107. International Conference on Potential Theory, Pokroky Mat. Fyz. Astronom. 33 (1988), 108–110 (with J. Lukeš, I. Netuka, J. Veselý). (Czech) (1988) 
  108. To sixtieth anniversary of birthday of RNDr. Jaroslav Fuka, CSc, Cas. Pest. Mat. 114 (1989), 315–317. (Czech) (1989) MR1016642
  109. Hausdorff measures and removable singularities of solutions of partial differential equations, Pokroky Mat. Fyz. Astronom. 35 (1990), 319–330. (Czech) (1990) MR1103285
  110. To seventieth anniversary of birthday of Professor Jan Mařík, Cas. Pest. Mat. 115 (1990), 433–436 (with K. Karták, J. Matyska). (Czech) (1990) MR1090864
  111. Seventy years of Professor Jan Mařík, Czech. Math. J. 41 (1991), 180–183 (with K. Karták, J. Matyska). (1991) Zbl0790.01030MR1087639
  112. The Fredholm-Radon method in potential theory, Collection: Continuum mechanics and related problem of analysis, Tbilisi, 1991 Metsniereba, Tbilisi, 1993, pp. 390–397. (1993) MR1379845
  113. On the awarding of an honorary doctorate from Charles University to Heinz Bauer, Pokroky Mat. Fyz. Astronom. 38 (1993), 95–101 (with J. Lukeš, I. Netuka, J. Veselý). (Czech) (1993) MR1232377
  114. In memoriam Professor Jan Mařík (1920–1994), Czech. Math. J. 44 (1994), 190–192 (with J. Kurzweil, I. Netuka, Š. Schwabik). (1994) Zbl0801.01014MR1257946
  115. Professor Jan Mařík (obituary), Math. Bohem. 119 (1994), 213–215 (with J. Kurzweil, I. Netuka, Š. Schwabik). (Czech) (1994) MR1293251
  116. In memory of Professor Mařík, Pokroky Mat. Fyz. Astronom. 39 (1994), 177–179. (Czech) (1994) 
  117. Estimates of analytic capacity, Linear and Complex Analysis Problem Book 3. Part 1, (eds. V. P. Havin, N. K. Nikolski), Lect. Notes Math., vol. 1573, Springer, 1994, pp. 154– 156. (1994) 
  118. Some extension problems, Linear and Complex Analysis Problem Book 3. Part 1, (eds. V. P. Havin, N. K. Nikolski), Lect. Notes Math., vol. 1573, Springer, 1994, pp. 328–329. (1994) 
  119. Limits of integrals of the Cauchy type, Linear and Complex Analysis Problem Book 3. Part 1, (eds. V. P. Havin, N. K. Nikolski), Lect. Notes Math., vol. 1573, Springer, 1994, pp. 415–417. (1994) 
  120. The divergence theorem, Math. Bohem. 121 (1996), 349–356. (1996) Zbl1033.26501MR1428138
  121. Potential theory—ICPT 94, Proceedings of the International Conference held in Kouty, August 13–20, 1994, Walter de Gruyter & Co., Berlin, 1996, pp. 499 (co-editor with J. Lukeš, I. Netuka, J. Veselý). (1996) Zbl0844.00023MR1404697
  122. Essential norms of the integral operator corresponding to the Neumann problem for the Laplace equation, Mathematical aspects of boundary element methods, Palaiseau, 1998, Chapman & Hall/CRC, Res. Notes Math., 414, Chapman & Hall/CRC, Boca Raton, FL, 2000, pp. 215–226 (with D. Medková). (2000) Zbl0937.45010MR1719832
  123. Sixty years of Ivan Netuka, Math. Bohem. 129 (2004), 91–107 (with J. Veselý). (2004) MR2048789

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