Precompact Sets in Bochner–Lebesgue Spaces with Variable Exponent

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.

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Bibliographic Details
Published in:	Mathematical Notes Vol. 110; no. 5-6; pp. 932 - 941
Main Author:	Xu, J.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-11-2021
Subjects:	14/34 639/766/189 639/766/530 639/766/747 Mathematics Mathematics and Statistics Bochner–Lebesgue space variable exponent Bochner–Sobolev space precompact set
Online Access:	Get full text
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Description
Summary:	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.
ISSN:	0001-4346 1573-8876
DOI:	10.1134/S0001434621110298