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Precompact Sets in Bochner–Lebesgue Spaces with Variable Exponent

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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.

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Funding

This work was supported by the National Natural Science Foundation of China under grant 11761026 and Guangxi Natural Science Foundation under grant 2020GXNSFAA159085.

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Correspondence to J. Xu.

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Xu, J. Precompact Sets in Bochner–Lebesgue Spaces with Variable Exponent. Math Notes 110, 932–941 (2021). https://doi.org/10.1134/S0001434621110298

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  • DOI: https://doi.org/10.1134/S0001434621110298

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