On relatively compact sets in quasi-Banach function spaces

Guo, Weichao; Zhao, Guoping

doi:10.1090/proc/14963

On relatively compact sets in quasi-Banach function spaces
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by Weichao Guo and Guoping Zhao PDF

Proc. Amer. Math. Soc. 148 (2020), 3359-3373 Request permission

Abstract:

This paper is devoted to the study of the relatively compact sets in quasi-Banach function spaces, providing an important improvement of the known results. As an application, we take the final step in establishing a relative compactness criteria for function spaces with any weight without any assumption.

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