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arXiv · 2210.04364

A Sobolev Space Property of Logarithm of Lipschitz functions

Yifei Pan
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Abstract

For a Lipschitz function $f$ on an open set in $\mathbb{R}^n$, we consider the $L^{n}$ integrability of the quotient $\frac{|\nabla f|}{|f|}$ over its natural domain of definition.

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Yifei Pan. 2022-10-09. A Sobolev Space Property of Logarithm of Lipschitz functions. https://arxiv.org/abs/2210.04364

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