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Characterizations of Sobolev spaces via averages on balls

Article ID Journal Published Year Pages File Type
839457 Nonlinear Analysis: Theory, Methods & Applications 2015 14 Pages PDF
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|

Keywords
primary, 46E35DifferenceEuclidean spaceSpace of homogeneous type
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Characterizations of Sobolev spaces via averages on balls
Authors
Feng Dai, Amiran Gogatishvili, Dachun Yang, Wen Yuan,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
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