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

Let [Formula: see text] be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition. We show that [Formula: see text] is bounded from product Lebesgue spaces into Lebesgue spaces, Lipschitz spaces, and Triebel–Lizorkin spaces.

Detalles Bibliográficos
Autores principales: Si, Zengyan, Xue, Qingying
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061752/
https://www.ncbi.nlm.nih.gov/pubmed/30137916
http://dx.doi.org/10.1186/s13660-018-1778-8
_version_ 1783342284015665152
author Si, Zengyan
Xue, Qingying
author_facet Si, Zengyan
Xue, Qingying
author_sort Si, Zengyan
collection PubMed
description Let [Formula: see text] be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition. We show that [Formula: see text] is bounded from product Lebesgue spaces into Lebesgue spaces, Lipschitz spaces, and Triebel–Lizorkin spaces.
format Online
Article
Text
id pubmed-6061752
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-60617522018-08-09 Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels Si, Zengyan Xue, Qingying J Inequal Appl Research Let [Formula: see text] be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition. We show that [Formula: see text] is bounded from product Lebesgue spaces into Lebesgue spaces, Lipschitz spaces, and Triebel–Lizorkin spaces. Springer International Publishing 2018-07-25 2018 /pmc/articles/PMC6061752/ /pubmed/30137916 http://dx.doi.org/10.1186/s13660-018-1778-8 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Si, Zengyan
Xue, Qingying
Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
title 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_short 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
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061752/
https://www.ncbi.nlm.nih.gov/pubmed/30137916
http://dx.doi.org/10.1186/s13660-018-1778-8
work_keys_str_mv AT sizengyan estimatesforiteratedcommutatorsofmultilinearsquarefucntionswithdinitypekernels
AT xueqingying estimatesforiteratedcommutatorsofmultilinearsquarefucntionswithdinitypekernels

Ejemplares similares