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Weighted fractional Sobolev spaces as interpolation spaces in bounded domains

Authors:	Gabriel Acosta Irene Drelichman Ricardo G Durán

Institution:	1. IMAS (UBA-CONICET), Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina;2. IMAS (UBA-CONICET), Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina

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

Keywords:	fractional Sobolev spaces Gagliardo seminorm irregular domains interpolation spaces