Non-tangential limits of the logarithmic potential

Josef Král

Czechoslovak Mathematical Journal (1964)

  • Volume: 14, Issue: 3, page 455-482
  • ISSN: 0011-4642

How to cite

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Král, Josef. "Non-tangential limits of the logarithmic potential." Czechoslovak Mathematical Journal 14.3 (1964): 455-482. <http://eudml.org/doc/12232>.

@article{Král1964,
author = {Král, Josef},
journal = {Czechoslovak Mathematical Journal},
keywords = {partial differential equations},
language = {eng},
number = {3},
pages = {455-482},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Non-tangential limits of the logarithmic potential},
url = {http://eudml.org/doc/12232},
volume = {14},
year = {1964},
}

TY - JOUR
AU - Král, Josef
TI - Non-tangential limits of the logarithmic potential
JO - Czechoslovak Mathematical Journal
PY - 1964
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 3
SP - 455
EP - 482
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/12232
ER -

References

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  1. Ю. Д. Бураго В. Г. Мазья В. Д. Сапожникова, О потенциале двойного слоя для нерегулярных областей, Доклады Ак. наук СССР т. 147 (1962), No. 3, 523 - 524. (1962) Zbl1226.30001
  2. J. Král, On the logarithmic potential, Comment. Math. Univ. Carolinae 3 (1962), No 1, 3-10. (1962) MR0159008
  3. J. Král, On cyclic and radial variations of a plane path, Comment. Math. Univ. Carolinae. 4(1963), No. 1, 3-9. (1963) MR0159930
  4. J. Král, Some inequalities concerning the cyclic and radial variations of a plane path-curve, Czech. Math. Journal 14 (89), 1964, 271-280. (1964) MR0180689
  5. J. Král, On the logarithmic potential of the double distribution, Czech. Math. Journal 14 (89), 1964, 306-321. (1964) MR0180690
  6. J. Král, Poznámka o lineární míře a délce cesty v metrickém prostoru, Acta Univ. Carolinae 1963, No. 1, 1-10. (1963) 
  7. H. И. Мусхелишвили, Синуглярные интегральные уравнения, Москва 1962 (1st ed. appeared also in English: N. I. Muskhelishvili: Singular Integral Equations, Groningen 1953). (1962) Zbl1005.68507
  8. I. P. Natanson, Theorie der Funktionen einer reellen Veränderlichen, Berlin 1954 (И.П.Натансон: Теория функций вещественной переменной). (1954) Zbl0056.05201MR0063424
  9. W. Nikliborc W. Stożek, Sur les potientels logarithmiques des doubles couches, C. R. 1933, t. 197, p. 808. (1933) 
  10. W. Nikliborc W. Stożek, Über die Grenzwerte des logarithmischen Potentials der Doppelbelegung, Fundamenta Mathematicae, t. XXII (1934), 109-135. (1934) 
  11. Г. E. Перевалов, О мере множеств, лежащих на плоских континуумах, Сибирский мат. журнал, т. III (1962), № 4, 575-581. (1962) Zbl1005.68507
  12. И. И. Привалов, Граничные свойства аналитических функций, (ред. А. И. Маркушевич). Москва-Лениград 1950 (I. I. Priwalow: Randeigenschaften analytischer Funktionen). (1950) Zbl1157.76305
  13. F. Riesz B. Sz. Nagy, Leçons d'Analyse Fonctionelle, Budapest 1952. (1952) 
  14. S. Saks, Theory of the integral, New York 1937. (1937) Zbl0017.30004
  15. R. Sikorski, Funkcje rzeczywiste I, Warszawa 1958. (1958) MR0105468
  16. Г. Ц. Тумаркин, С. Я. Хавинсон, Степенные ряды и их обобщения. Проблема моногенности. Граничные свойства, В сборнике: Математика в СССР за сорок лет 1917-1957, Москва 1959. (1917) 

Citations in EuDML Documents

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  1. Jiří Veselý, On the limits of the potential of the double distribution (Preliminary communication)
  2. Jiří Veselý, Úhlové limity potenciálů dvojvrstvy
  3. Josef Král, Jaroslav Lukeš, Integrals of the Cauchy type
  4. Miroslav Dont, Non-tangential limits of the double layer potentials
  5. Josef Král, Hladké funkce s nekonečnou cyklickou variací
  6. Jiří Veselý, O jedné smíšené okrajové úloze teorie analytických funkcí
  7. Josef Král, Jaroslav Lukeš, On the modified logarithmic potential
  8. Jaroslav Fuka, Josef Král, Analytic capacity and linear measure
  9. Jiří Štulc, Jiří Veselý, Souvislost cyklické a radiální variace cesty s její délkou a ohybem
  10. Miroslav Dont, A note on a heat potential and the parabolic variation

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