Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THE CHARACTERISATION OF BMO VIA COMMUTATORS IN VARIABLE LEBESGUE SPACES ON STRATIFIED GROUPS

  • Liu, Dongli (Department of Mathematics and Physics Shijiazhuang Tiedao University, School of Mathematical Sciences Beijing Normal University) ;
  • Tan, Jian (School of Science Nanjing University of Posts and Telecommunications) ;
  • Zhao, Jiman (School of Mathematical Sciences Beijing Normal University)
  • Received : 2020.12.07
  • Accepted : 2022.01.17
  • Published : 2022.05.31
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Abstract

Let T be a bilinear Calderón-Zygmund operator, $b{\in}U_q>_1L^q_{loc}(G)$. We firstly obtain a constructive proof of the weak factorisation of Hardy spaces. Then we establish the characterization of BMO spaces by the boundedness of the commutator [b, T]j in variable Lebesgue spaces.

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Acknowledgement

The authors would like to express great gratitude to the referees for their careful reading of the manuscript and their valuable comments which improve the presentation of this article.

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