a note on the regularity of the two-dimensional one-sided hardy-littlewood maximal function

a note on the regularity of the two-dimensional one-sided hardy-littlewood maximal function

;Feng Liu;Lei Xu
Biosensors 2018 Vol. 2018 pp. -
291
liu2018journala

Abstract

We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal operator. We point out that the above operator is bounded and continuous on the Sobolev spaces Ws,p(R2) for 0≤s≤1 and 1

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129332
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10.1155/2018/6759632
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