The characterisation of $BMO$ via commutators in variable Lebesgue spaces on stratified groups

Let $T$ be a bilinear Calder\'{o}n-Zygmund operator, $$b\in \cup_{q>1}L_{loc}^{q}(G).$$ 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 Lebes...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2022, 59(3), , pp.547-566
Main Authors: Dongli Liu, Jian Tan, Jiman Zhao
Format: Article
Language:English
Subjects:
수학
Online Access:Get full text
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Summary:Let $T$ be a bilinear Calder\'{o}n-Zygmund operator, $$b\in \cup_{q>1}L_{loc}^{q}(G).$$ 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. KCI Citation Count: 0
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b201019