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arXiv · 2112.03416

Weighted fractional Sobolev spaces as interpolation spaces in bounded domains

Gabriel Acosta·Irene Drelichman·Ricardo G. Durán
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Abstract

We characterize the real interpolation space between a weighted $L^p$ space and a weighted Sobolev space in arbitrary bounded domains in $\mathbb{R}^n$, with weights that are positive powers of the distance to the boundary.

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Gabriel Acosta, Irene Drelichman, Ricardo G. Durán. 2021-12-06. Weighted fractional Sobolev spaces as interpolation spaces in bounded domains. https://arxiv.org/abs/2112.03416

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