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Title: On weighted Sobolev spaces
Authors: Chua, S.-K. 
Keywords: (∈ , δ) and (∈ , ∞) domains
Ap weights
Locally Ap weights
Poincaré inequalities
Power weights
Issue Date: Jun-1996
Citation: Chua, S.-K. (1996-06). On weighted Sobolev spaces. Canadian Journal of Mathematics 48 (3) : 527-541. ScholarBank@NUS Repository.
Abstract: We study density and extension problems for weighted Sobolev spaces on bounded (∈, δ) domains script D sign when a doubling weight w satisfies the weighted Poincaré inequality on cubes near the boundary of script D sign and when it is in the Muckenhoupt Ap class locally in script D sign. Moreover, when the weights wi(x) are of the form dist(x. Mi)αi, αi, ∈ ℝ, Mi ⊂ script D sign that are doubling, we are able to obtain some extension theorems on (∈ ∞) domains.
Source Title: Canadian Journal of Mathematics
ISSN: 0008414X
Appears in Collections:Staff Publications

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