%0 Journal Article
%T 极大算子的交换子在 Morrey 空间的有界性以及对 Lipschitz 空间的刻画<br>Boundedness of the Commutators of the Maximal Operator on Morrey Spaces and Their Characterization of Lipschitz Spaces
%A 樊迪
%J Pure Mathematics
%P 3514-3524
%@ 2160-7605
%D 2023
%I Hans Publishing
%R 10.12677/PM.2023.1312366
%X 设M为Hardy-Littlewood 极大算子，M<sup>#</sup>为sharp 极大算子，b是局部可积函数。本文考虑了当b属于 Lipschitz 空间时，M 和M<sup>#</sup>与b生成的极大交换子和非线性交换子在 Morrey 空间中的有界性，并给出了 Lipschitz 空间的一些新等价刻画。<br />
Let M be the Hardy-Littlewood maximal operator, M<sup>#</sup> be the sharp maximal operator
and b be a locally integrable function. In this paper, we consider the boundedness of maximal and nonlinear commutators generated by M and M<sup>#</sup> with b on Morrey spaces when b belongs to the Lipschitz spaces, by which some new characterizations of the Lipschitz spaces are given.
%K Hardy-Littlewood 极大算子，Sharp 极大算子，交换子，Lipschitz 空间，Morrey 空间<br>Hardy-Littlewood Maximal Operator
%K Sharp Maximal Operator
%K Commutator
%K Lipschitz Space
%K Morrey Space
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=77997