Partial integral operators in Orlicz spaces with mixed norm

J. Appell; A. Kalitvin; P. Zabreĭko

Colloquium Mathematicae (1998)

  • Volume: 78, Issue: 2, page 293-306
  • ISSN: 0010-1354

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Appell, J., Kalitvin, A., and Zabreĭko, P.. "Partial integral operators in Orlicz spaces with mixed norm." Colloquium Mathematicae 78.2 (1998): 293-306. <http://eudml.org/doc/210616>.

@article{Appell1998,
author = {Appell, J., Kalitvin, A., Zabreĭko, P.},
journal = {Colloquium Mathematicae},
keywords = {Lebesgue space; ideal space; Orlicz space; partial integral operator; mixed norm; partial integral operators; -Banach lattices; mixed norm spaces; multiplicator space; Orlicz spaces},
language = {eng},
number = {2},
pages = {293-306},
title = {Partial integral operators in Orlicz spaces with mixed norm},
url = {http://eudml.org/doc/210616},
volume = {78},
year = {1998},
}

TY - JOUR
AU - Appell, J.
AU - Kalitvin, A.
AU - Zabreĭko, P.
TI - Partial integral operators in Orlicz spaces with mixed norm
JO - Colloquium Mathematicae
PY - 1998
VL - 78
IS - 2
SP - 293
EP - 306
LA - eng
KW - Lebesgue space; ideal space; Orlicz space; partial integral operator; mixed norm; partial integral operators; -Banach lattices; mixed norm spaces; multiplicator space; Orlicz spaces
UR - http://eudml.org/doc/210616
ER -

References

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  2. [2] J. Bergh and J. Löfström , Interpolation Spaces-an Introduction, Springer, Berlin, 1976. Zbl0344.46071
  3. [3] G. Brack , Systems with substantially distributed parameters, in: Systems Analysis and Simulation I, Math. Res. 27, Akademie-Verlag, 1985, 421-424. 
  4. [4] A. B. Bukhvalov , Spaces of vector functions and tensor products, Sibirsk. Mat. Zh. 13 (1972), 1229-1238 (in Russian). 
  5. [5] A. B. Bukhvalov, On spaces with mixed norm, Vestnik Leningrad. Univ. 19 (1973), no. 4, 5-12 (in Russian). Zbl0277.46024
  6. [6] R. Bürger , On the maintenance of genetic variation: global analysis of Kimura's continuum-of-alleles model, J. Math. Biol. 24 (1986), 341-351. Zbl0631.92009
  7. [7] K. M. Case and P. F. Zweifel , Linear Transport Theory, Addison-Wesley, Reading, Mass., 1967. 
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  9. [9] A. S. Kalitvin , On some class of partial integral equations in aerodynamics, Sost. Persp. Razv. Nauchn.-Tekhn. Pot. Lipetsk. Obl. (Lipetsk) (1994), 210-212 (in Russian). 
  10. [10] A. S. Kalitvin and P. P. Zabreĭko , On the theory of partial integral operators, J. Integral Equations Appl. 3 (1991), 351-382. Zbl0747.45005
  11. [11] M. A. Krasnosel'skiĭ and Ya. B. Rutitskiĭ , Convex Functions and Orlicz Spaces, Fizmatgiz, Moscow, 1958 (in Russian); English transl.: Noordhoff, Groningen, 1961. 
  12. [12] M. A. Krasnosel'skiĭ, P. P. Zabreĭko, E. I. Pustyl'nik and P. E. Sobolevskiĭ, Integral Operators in Spaces of Summable Functions, Nauka, Moscow, 1966 (in Russian); English transl.: Noordhoff, Leyden, 1976. 
  13. [13] S. G. Kreĭn, Yu. I. Petunin and E. M. Semenov, Interpolation of Linear Operators, Nauka, Moscow, 1978 (in Russian); English transl.: Transl. Math. Monographs 54, Amer. Math. Soc., Providence, 1982. 
  14. [14] C. V. M. van der Mee , Transport theory in L p spaces, Integral Equations Operator Theory 6 (1983), 405-443. Zbl0506.45011
  15. [15] I. N. Minin , Theory of Radiation Transfer in the Atmospheres of Planets, Nauka, Moscow, 1988 (in Russian). Zbl0664.76122
  16. [16] M. M. Rao and Z. D. Ren , Theory of Orlicz Spaces, Dekker, New York, 1991. Zbl0724.46032
  17. [17] Ya. B. Rutitskiĭ , New criteria for continuity and complete continuity of integral operators in Orlicz spaces, Izv. Vyssh. Uchebn. Zaved. Mat. 1962, no. 5 (30), 87-100. 
  18. [18] A. C. Zaanen , Linear Analysis, North-Holland, Amsterdam, 1953. 
  19. [19] P. P. Zabreĭko , Nonlinear integral operators, Voronezh. Gos. Univ. Trudy Sem. Funktsional. Anal. 1966, no. 8, 3-152 (in Russian). 
  20. [20] P. P. Zabreĭko, Ideal function spaces, Vestnik Yarosl. Univ. 8 (1974), 12-52 (in Russian). 

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