In this paper we study certain weighted Sobolev spaces defined on an open subset Ω of R^n (not necessarily bounded or regular) when the weight is a function related to the distance from a subset of ∂Ω. As an application, we prove boundedness and compactness results for operators in such weighted Sobolev spaces.
Weighted spaces and weighted norm inequalities on irregular domains
CASO, Loredana;D'AMBROSIO, ROBERTA
2011-01-01
Abstract
In this paper we study certain weighted Sobolev spaces defined on an open subset Ω of R^n (not necessarily bounded or regular) when the weight is a function related to the distance from a subset of ∂Ω. As an application, we prove boundedness and compactness results for operators in such weighted Sobolev spaces.File in questo prodotto:
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