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A revisit on the compactness of commutators

Classical Analysis and ODEs 2023-06-22 v1
Authors: Weichao Guo , Huoxiong Wu , Dongyong Yang
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Abstract

A new characterization of CMO(R^n) is established by the local mean oscillation. Some characterizations of iterated compact commutators on weighted Lebesgue spaces are given, which are new even in the unweighted setting for the first order commutators.

Keywords

compact commutators CMO(R^n) local mean oscillation weighted Lebesgue spaces iterated commutators

Cite

@article{arxiv.1712.08292,
  title  = {A revisit on the compactness of commutators},
  author = {Weichao Guo and Huoxiong Wu and Dongyong Yang},
  journal= {arXiv preprint arXiv:1712.08292},
  year   = {2023}
}

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