arXiv:2205.06864 Abstract | arXiv Analytics

arXiv:2205.06864 [math.GN]Abstract References Reviews Resources

Characterizing compact sets in $L^p$-spaces and its application

Published 2022-05-13Version 1

In this paper, we give a characterization of compact sets in $L^p$-spaces on metric measure spaces, which is a generalization of the Kolmogorov-Riesz theorem. Using the criterion, we investigate the topological type of the space consisting of lipschitz maps with bounded supports.

Categories: math.GN, math.FA

Subjects: 54C35, 46B50, 46E30, 57N20

Keywords: characterizing compact sets, application, metric measure spaces, kolmogorov-riesz theorem, lipschitz maps

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