Iterated Commutators of Multilinear Maximal Square Functions on Some Function Spaces

In this paper, the iterated commutators of multilinear maximal square function and pointwise multiplication with functions in Lipschitz spaces are studied. Some new estimates for the iterated commutators with kernels satisfying some Dini type conditions on Lebesgue spaces, homogenous Lipschitz space...

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Bibliographic Details
Published in:Taiwanese journal of mathematics 2020-10, Vol.24 (5), p.1117-1138
Main Authors: Si, Zengyan, Xue, Qingying, Zhang, Pu
Format: Article
Language:English
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Summary:In this paper, the iterated commutators of multilinear maximal square function and pointwise multiplication with functions in Lipschitz spaces are studied. Some new estimates for the iterated commutators with kernels satisfying some Dini type conditions on Lebesgue spaces, homogenous Lipschitz spaces and homogenous Triebel-Lizorkin spaces will be given, respectively.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm/200101