Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels

Abstract Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition. We show that TΠb→ $T_{\Pi\vec {b}}$ is bounded from product Lebesgue spaces into Lebesgue spaces, Lipschitz spaces, and Triebel–Lizorki...

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Main Authors:	Zengyan Si, Qingying Xue
Format:	Article
Language:	English
Published:	SpringerOpen 2018-07-01
Series:	Journal of Inequalities and Applications
Subjects:	Multilinear square fucntions Triebel–Lizorkin spaces Lipschitz spaces Iterated commutators
Online Access:	http://link.springer.com/article/10.1186/s13660-018-1778-8

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spelling	doaj-28423f842071440abdca59162ce7cc212020-11-24T21:28:36ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-012018112110.1186/s13660-018-1778-8Estimates for iterated commutators of multilinear square fucntions with Dini-type kernelsZengyan Si0Qingying Xue1School of Mathematics and Information Science, Henan Polytechnic UniversitySchool of Mathematical Sciences, Beijing Normal UniversityAbstract Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition. We show that TΠb→ $T_{\Pi\vec {b}}$ is bounded from product Lebesgue spaces into Lebesgue spaces, Lipschitz spaces, and Triebel–Lizorkin spaces.http://link.springer.com/article/10.1186/s13660-018-1778-8Multilinear square fucntionsTriebel–Lizorkin spacesLipschitz spacesIterated commutators
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zengyan Si Qingying Xue
spellingShingle	Zengyan Si Qingying Xue Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels Journal of Inequalities and Applications Multilinear square fucntions Triebel–Lizorkin spaces Lipschitz spaces Iterated commutators
author_facet	Zengyan Si Qingying Xue
author_sort	Zengyan Si
title	Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
title_short	Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
title_full	Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
title_fullStr	Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
title_full_unstemmed	Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
title_sort	estimates for iterated commutators of multilinear square fucntions with dini-type kernels
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2018-07-01
description	Abstract Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition. We show that TΠb→ $T_{\Pi\vec {b}}$ is bounded from product Lebesgue spaces into Lebesgue spaces, Lipschitz spaces, and Triebel–Lizorkin spaces.
topic	Multilinear square fucntions Triebel–Lizorkin spaces Lipschitz spaces Iterated commutators
url	http://link.springer.com/article/10.1186/s13660-018-1778-8
work_keys_str_mv	AT zengyansi estimatesforiteratedcommutatorsofmultilinearsquarefucntionswithdinitypekernels AT qingyingxue estimatesforiteratedcommutatorsofmultilinearsquarefucntionswithdinitypekernels
_version_	1725969471289425920

Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels

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