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Title: Extension theorems on weighted Sobolev spaces and some applications
Authors: Chua, S.-K. 
Keywords: (ε, δ) and (ε, ∞) domains
Ap weights
Doubling weights
Poincaré inequalities
Issue Date: Jun-2006
Citation: Chua, S.-K. (2006-06). Extension theorems on weighted Sobolev spaces and some applications. Canadian Journal of Mathematics 58 (3) : 492-528. ScholarBank@NUS Repository.
Abstract: We extend the extension theorems to weighted Sobolev spaces L w,k p(D) on (ε, δ) domains with doubling weight w that satisfies a Poincaré inequality and such that w-1/p is locally Lp′. We also make use of the main theorem to improve weighted Sobolev interpolation inequalities. © Canadian Mathematical Society 2006.
Source Title: Canadian Journal of Mathematics
ISSN: 0008414X
Appears in Collections:Staff Publications

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