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math.CADec 22, 2017
23
citations (OpenAlex)
authors
  • Weichao Guo
  • Huoxiong Wu
  • Dongyong Yang
institutions
  • Jimei University
  • Xiamen University
arXiv abstractPDF
paper

A revisit on the compactness of commutators

arXiv:1712.08292 · doi:10.4153/S0008414X20000644

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.

References in corpus (6)

  • On pointwise estimates involving sparse operators
  • Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces
  • Commutators of singular integrals revisited
  • Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
  • Two-weight inequalities for multilinear commutators
  • Three observations on commutators of Singular Integral Operators with BMO functions

Cited by in corpus (5)

  • Extrapolation of compactness on weighted spaces
  • Extrapolation of compactness on weighted spaces II: Off-diagonal and limited range estimates
  • Boundedness and compactness of commutators associated with Lipschitz functions
  • On the compactness of oscillation and variation of commutators
  • Compactness of Riesz transform commutator on stratified Lie groups
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