Weighted Sobolev Type Inequalities in a Smooth Metric Measure Space

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2024年1月31日

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Pengyan Wang,
Huiting Chang

摘要

In this paper, we obtain weighted Sobolev type inequalities with explicit constants that extend the inequalities obtained by Guo et al. (Math Res Lett 28(5):1419–1439, 2021) in the Riemannian setting. As an application, we prove some new logarithmic Sobolev type inequalities in some smooth metric measure spaces.