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math.CA2021
Weighted fractional Sobolev spaces as interpolation spaces in bounded domains
Gabriel Acosta, Irene Drelichman, Ricardo G. Durán
We characterize the real interpolation space between a weighted space and a weighted Sobolev space in arbitrary bounded domains in , with weights that are posit…
math.AP2021
The Bourgain-Brézis-Mironescu formula in arbitrary bounded domains
Irene Drelichman, Ricardo G. Durán
We obtain a Bourgain-Brézis-Mironescu formula on the limit behaviour of a modified fractional Sobolev seminorm when , which is valid in arbitrary bounded domains. In t…