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On one family of integral functionals. (English. Russian original) Zbl 0799.46034
Math. Notes 52, No. 1, 741-743 (1992); translation from Mat. Zametki 52, No. 1, 144-146 (1992).
In this note generalizations of some results due to A. A. Vladimirov, Yu. E. Nesterov and Yu. N. Chekanov [Vestnik Mosk. Univ. Ser. XV 1978, No. 3, 12-23 (1978; Zbl 0442.47046)] and H. Gajewski, K. Gröger, K. Zacharias [‘Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen’ (1974; Zbl 0289.47029)] are presented. For details we have to refer to the paper.
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Full Text: DOI
[1] L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977). · Zbl 0127.06102
[2] Z. Birnbaum and W. Orlicz, Stud. Math.,3, No. 1, 1-67 (1931).
[3] V. R. Portnov, Dokl. Akad. Nauk SSSR,170, No. 6, 1269-1272 (1966).
[4] V. R. Portnov, Dokl. Akad. Nauk SSSR,175, No. 2, 296-299 (1967).
[5] V. R. Portnov, Tr. Seminara S. L. Soboleva, No. 1, 81-112 (1980).
[6] I. I. Sharapudinov, Mat. Zametki,26, No. 4, 613-632 (1979).
[7] I. I. Sharapudinov, Constructive Theory of Functions ’81 [in Russian], Izd. Bolg. Akad. Nauk, Sofia (1983), pp. 189-193.
[8] V. N. Samokhin, Mat. Zametki,42, No. 2, 256-261 (1987).
[9] O. Kovachik, Functional and Numerical Methods of Mathematical Physics [in Russian], Kiev (1988), pp. 256-261.
[10] V. V. Zhikov, Differents. Uravnen.,27, No. 1, 42-50 (1991).
[11] N. K. Rakhmetov, Dokl. Akad. Nauk SSSR,316, No. 3, 553-557 (1991).
[12] M. A. Krasnosel’ skii and Ya. B. Rutitskii, Convex Functions and Orlicz Spaces [in Russian], Fizmatgiz, Moscow (1958).
[13] A. A. Vladimirov, Yu. E. Nesterov, and Yu. N. Chekanov, Vestn. MGU, Ser. 15, Vychisl. Matem. Kibern., No. 3, 12-23 (1978).
[14] P. P. Mosolov and V. P. Myasnikov, Mechanics of Rigid Plastic Media [in Russian], Nauka, Moscow (1981). · Zbl 0551.73002
[15] H. Gaevskii, K. Greger, and K. Zakharias, Nonlinear Operator Equations and Operator Differential Equations [Russian translation], Mir, Moscow (1978).
[16] S. L. Sobolev, Introduction to the Theory of Cubature Formulas [in Russian], Nauka, Moscow (1974).
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