Weighted fractional Sobolev spaces as interpolation spaces in bounded domains

Gabriel Acosta,Irene Drelichman,Ricardo G. G. Duran

arxiv（2023）

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摘要

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.

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关键词

weighted fractional sobolev spaces,sobolev spaces,interpolation spaces

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