Hardy-Littlewood极大算子在Wiener Amalgam空间中的有界性

The Boundedness of the Hardy-Littlewood Maximal Operators in Wiener Amalgam Spaces

本文应用Wiener amalgam 空间的嵌入关系,证明了 Hardy-Littlewood 极大算子 M 的W(FLp,Lq)有界性和Wiener amalgam 空间中的弱(1,1)性。

Using the embedding relationship of Wiener amalgam spaces, we proved that the Hardy-Littlewood maximal operator M is bounded from W(FLp,Lq) to W(FLp,Lq). Meanwhile, we obtained that the Hardy-Littlewood maximal operator M is weak (1,1) in Wiener amalgam spaces.