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A revisit on the compactness of commutators

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arxiv 1712.08292 v1 pith:M7NKYIJO submitted 2017-12-22 math.CA

Weichao Guo , Huoxiong Wu , Dongyong Yang This is my paper · ORCID
classification math.CA
keywords commutatorscharacterizationcharacterizationscompactcompactnessestablishedevenfirst
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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.

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  1. An explicit formula of Cauchy--Szeg\"{o} kernel for quaternionic Siegel upper half space and applications

    math.CV 2019-08 conditional novelty 6.0 of 10

    An explicit formula for the quaternionic Cauchy-Szegő kernel is derived and used to prove Calderón-Zygmund kernel estimates, a pointwise kernel lower bound, and BMO/VMO commutator characterizations on the quaternionic...

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