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arXiv · 2508.03880

The refined area formula for Sobolev mappings $W^{k,p}$

Paz Hashash
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Abstract

We establish the area formula for change-of-variable mappings in the Sobolev space $W^{k,p}_{\text{loc}}$. Our approach relies on constructing Lipschitz approximations of Sobolev functions that agree with the original functions outside a set of Riesz capacity zero.

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Paz Hashash. 2025-08-05. The refined area formula for Sobolev mappings $W^{k,p}$. https://arxiv.org/abs/2508.03880

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