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Weighted fractional Sobolev spaces as interpolation spaces in bounded domains

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  • Gabriel Acosta
  • Irene Drelichman
  • Ricardo G. Durán

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.

Suggested Citation

  • Gabriel Acosta & Irene Drelichman & Ricardo G. Durán, 2023. "Weighted fractional Sobolev spaces as interpolation spaces in bounded domains," Mathematische Nachrichten, Wiley Blackwell, vol. 296(9), pages 4374-4385, September.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:9:p:4374-4385
    DOI: 10.1002/mana.202200182
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