Iterated commutators of multilinear Calderón–Zygmund maximal operators on some function spaces
Abstract Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with functions in Lipschitz spaces. More precisely, we give some new estimates for this kind of commutators under some Dini-type conditi...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-04-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-019-2051-5 |
Summary: | Abstract Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with functions in Lipschitz spaces. More precisely, we give some new estimates for this kind of commutators under some Dini-type conditions on Lebesgue spaces, homogenous Lipschitz spaces, and homogenous Triebel–Lizorkin spaces. |
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ISSN: | 1029-242X |