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An inequality for functions with derivatives in an Orlicz space


Authors: R. Bojanić and J. Musielak
Journal: Proc. Amer. Math. Soc. 15 (1964), 902-906
MSC: Primary 46.35; Secondary 26.00
DOI: https://doi.org/10.1090/S0002-9939-1964-0172102-7
MathSciNet review: 0172102
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  • [1] M. A. Krasnosel′skiĭ and Ja. B. Rutickiĭ, \cyr Vypuklye funktsii i prostranstva Orlicha., Problems of Contemporary Mathematics, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1958 (Russian). MR 0106412
  • [2] Lars Hörmander, Estimates for translation invariant operators in 𝐿^{𝑝} spaces, Acta Math. 104 (1960), 93–140. MR 0121655, https://doi.org/10.1007/BF02547187
  • [3] Avner Friedman, Generalized functions and partial differential equations, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. MR 0165388
  • [4] J. Musielak, On some spaces of functions and distributions. I. Spaces \cal𝐷_{𝑀} and \cal𝐷_{𝑀}′, Studia Math. 21 (1961/1962), 195–202. MR 0139939
    J. Musielak, On some spaces of functions and distributions. II. Integral transforms in \cal𝐷_{𝑀} and \cal𝐷_{𝑀}′, Studia Math. 21 (1961/1962), 237–244. MR 0139940
    J. Musielak, On some spaces of functions and distributions. III. Spaces of vector-valued 𝑀-integrable distributions, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 9 (1961), 765–767. MR 0139941

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DOI: https://doi.org/10.1090/S0002-9939-1964-0172102-7
Article copyright: © Copyright 1964 American Mathematical Society