On regularity of weighted Sobolev homeomorphisms

Valerii Pchelintsev; Alexander Ukhlov

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arXiv · 2207.07541

On regularity of weighted Sobolev homeomorphisms

Valerii Pchelintsev·Alexander Ukhlov

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Abstract

We study the weak regularity of mappings inverse to weighted Sobolev homeomorphisms $φ:Ω\to\widetildeΩ$, where $Ω$ and $\widetildeΩ$ are domains in $\mathbb R^n$. Using the weak regularity of inverse mappings we obtain the composition duality property of composition operators on weighted Sobolev spaces.

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Valerii Pchelintsev, Alexander Ukhlov. 2022-07-15. On regularity of weighted Sobolev homeomorphisms. https://arxiv.org/abs/2207.07541

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