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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2003 Volume 243, Pages 194–212 (Mi tm428)

This article is cited in 1 paper

Two-Weight Inequalities for Integral Operators in $L_p$-Spaces of Banach-Valued Functions and Their Applications

V. S. Guliev, R. A. Bandaliev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: In the spaces $L_p(\Omega _k;B)$, strong- and weak-type two-weight inequalities are obtained for integral operators arising from the Il'in–Besov integral representation in the case of radial weights.

UDC: 517.518

Received in March 2003


 English version:
Proceedings of the Steklov Institute of Mathematics, 2003, 243, 185–203

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