Weighted fractional Sobolev spaces as interpolation spaces in bounded domains

Gabriel Acosta, Irene Drelichman and Ricardo G. Durán

Mathematische Nachrichten, 2023, vol. 296, issue 9, 4374-4385

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

Date: 2023
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https://doi.org/10.1002/mana.202200182

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