Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839457 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 14 Pages |
Abstract
In this paper, the authors prove several equivalent characterizations of Sobolev spaces of even integer orders on RnRn, using the average Btf(x)≔1|B(x,t)|∫B(x,t)f(y)dy of a function ff over the ball B(x,t)≔{y∈Rn:|y−x|
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Authors
Feng Dai, Amiran Gogatishvili, Dachun Yang, Wen Yuan,