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

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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Veröffentlicht in:Journal of function spaces 2018-01, Vol.2018 (2018), p.1-8
Hauptverfasser: Liu, Feng, Xu, Lei
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Inequality
Neural networks
Operators (mathematics)
Regularity
Sobolev space
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Zusammenfassung: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
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/6759632