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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2021 Volume 110, Issue 6, Pages 932–941 (Mi mzm13378)
Papers published in the English version of the journal

Precompact Sets in Bochner–Lebesgue Spaces with Variable Exponen

J. Xu

Colleges and Universities Key Laboratory of Data Analysis and Computation, School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, 541004 China

Abstract: In this paper, we give two criteria for precompact sets in Bochner–Lebesgue spaces with variable exponent. The results for Bochner–Sobolev spaces with variable exponent are also given.

Keywords: variable exponent, precompact set, Bochner–Lebesgue space, Bochner–Sobolev space.

Received: 16.03.2021

Language: English


 English version: Mathematical Notes, 2021, 110:6, 932–941

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© Steklov Math. Inst. of RAS, 2024