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https://scholarbank.nus.edu.sg/handle/10635/103258
| 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/103258 | ISSN: | 0008414X |
| Appears in Collections: | Staff Publications |
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