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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 3, Pages 3–8 (Mi ivm6705)  
Embedding of $H_p^\omega$ in the class $e^L$

V. A. Andrienko

Chair of Mathematical Analysis, Odessa National University, Odessa, Ukraine
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Abstract: We obtain the necessary conditions for the embedding $H_p^\omega\subset e^L$ ($1\le p<\infty$) with convex modulus of continuity $\omega$ in terms of this modulus. In the case $p=1$ these conditions are also sufficient.
Keywords: modulus of continuity, decreasing rearrangement, embedding in the class $\varphi(L)$.
Received: 08.11.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 3, Pages 1–6
DOI: https://doi.org/10.3103/S1066369X10030011
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. A. Andrienko, “Embedding of $H_p^\omega$ in the class $e^L$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3, 3–8; Russian Math. (Iz. VUZ), 54:3 (2010), 1–6
Citation in format AMSBIB
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