• 제목/요약/키워드: Bilinear Calderon-Zygmund operators

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THE CHARACTERISATION OF BMO VIA COMMUTATORS IN VARIABLE LEBESGUE SPACES ON STRATIFIED GROUPS

  • Liu, Dongli;Tan, Jian;Zhao, Jiman
    • 대한수학회보
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    • 제59권3호
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    • pp.547-566
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    • 2022
  • 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.