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.
Titolo: | Weighted spaces and weighted norm inequalities on irregular domains | |
Autori: | ||
Data di pubblicazione: | 2011 | |
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. | |
Handle: | http://hdl.handle.net/11386/4569261 | |
Appare nelle tipologie: | 7.12 Altro |
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