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arXiv · 2209.08304

A Bakry-\'Emery criterion for weighted contractivity and $L^2$-Hardy inequalities

Yaozhong W. Qiu
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Abstract

We show a symmetric Markov diffusion semigroup satisfies a weighted contractivity condition if and only if a $L^2$-Hardy inequality holds, and we give a Bakry-\'Emery type criterion for the former. We then give some applications.

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Yaozhong W. Qiu. 2022-09-17. A Bakry-\'Emery criterion for weighted contractivity and $L^2$-Hardy inequalities. https://doi.org/10.1142/s0219199724500238

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