Weichao Guo, Yongming Wen, Huoxiong Wu, Dongyong Yang
Published 2019-04-21Version 1
In this paper, we first establish the weighted compactness result for oscillation and variation associated with the truncated commutator of singular integral operators. Moreover, we establish a new $CMO(\mathbb{R}^n)$ characterization via the compactness of oscillation and variation of commutators on weighted Lebesgue spaces.
Characterization of Lipschitz spaces via commutators of the Hardy-Littlewood maximal function
A Characterization of the boundedness of the median maximal function on weighted L^p spaces
A new characterization of Sobolev spaces on $\mathbb{R}^n$
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