An embedding theorem for weighted Sobolev classes on a John domain: case of weights that are functions of a distance to a certain h-set

Abstract

Let $\Omega$ be a John domain, and let $\Gamma \subset \partial \Omega$ be an $h$-set. For some functions $h$ and some weight functions depending on distance from $\Gamma$, embedding theorems for a weighted Sobolev class is obtained.

References in corpus (2)

• Some necessary and some sufficient conditions for the compactness of the embedding of weighted Sobolev spaces
• Weighted Hardy inequalities beyond Lipschitz domains

Cited by in corpus (1)

• Widths of weighted Sobolev classes with weights that are functions of distance to some h-set: some limiting cases