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arXiv · 1904.09572

On the compactness of oscillation and variation of commutators

Weichao Guo·Yongming Wen·Huoxiong Wu·Dongyong Yang
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Abstract

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.

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Weichao Guo, Yongming Wen, Huoxiong Wu, Dongyong Yang. 2019-04-21. On the compactness of oscillation and variation of commutators. https://arxiv.org/abs/1904.09572

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