Interpolation for weighted Sobolev spaces

G. ACOSTA; I. DRELICHMAN; R. G. DURÁN

Workshop; Computation, Analysis and Applications of PDEs with Nonlocal and Singular Operators; 2022

National University of Singapore

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