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|Title:||On weighted Sobolev spaces|
|Keywords:||(∈ , δ) and (∈ , ∞) domains|
Locally Ap weights
|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|
|Appears in Collections:||Staff Publications|
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