English

Weighted fractional Sobolev spaces as interpolation spaces in bounded domains

Classical Analysis and ODEs 2022-05-10 v2

Abstract

We characterize the real interpolation space between a weighted LpL^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.

Keywords

Cite

@article{arxiv.2112.03416,
  title  = {Weighted fractional Sobolev spaces as interpolation spaces in bounded domains},
  author = {Gabriel Acosta and Irene Drelichman and Ricardo G. Durán},
  journal= {arXiv preprint arXiv:2112.03416},
  year   = {2022}
}