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...

Full description

Saved in:
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
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c292t-4f9e6e5a4eed200a057563fd74212335caa6ea487fc1971d1d16c8147ae4b9b03
cites cdi_FETCH-LOGICAL-c292t-4f9e6e5a4eed200a057563fd74212335caa6ea487fc1971d1d16c8147ae4b9b03
container_end_page 1138
container_issue 5
container_start_page 1117
container_title Taiwanese journal of mathematics
container_volume 24
creator Si, Zengyan
Xue, Qingying
Zhang, Pu
description 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.
doi_str_mv 10.11650/tjm/200101
format article
fullrecord <record><control><sourceid>jstor_cross</sourceid><recordid>TN_cdi_crossref_primary_10_11650_tjm_200101</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>26973975</jstor_id><sourcerecordid>26973975</sourcerecordid><originalsourceid>FETCH-LOGICAL-c292t-4f9e6e5a4eed200a057563fd74212335caa6ea487fc1971d1d16c8147ae4b9b03</originalsourceid><addsrcrecordid>eNpFkE1Lw0AQhhdRsFZPnoW9S-zOZj-SoxQ_Ci0eWs9huplASj7q7gb037tYUeYwMDy8vPMwdgviAcBosYiHfiGFAAFnbCalVJkpNJyzGQhpM60Ke8muQjgIIQsDZsZ2q0geI9V8Ofb9FDGOPvCx4Zupi23XDoSeb_Cz7bHj248JPfHnaXCxHYfEDXw79v8Xvj2io3DNLhrsAt387jl7f37aLV-z9dvLavm4zpwsZcxUU5IhjYqoTqVRaKtN3tRWSZB5rh2iIUydGwelhTqNcQUoi6T25V7kc3Z_ynV-DMFTUx19Kuq_KhDVj5AqCalOQhJ9d6IPIT35h0pT2ry0Ov8GY3leCA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Iterated Commutators of Multilinear Maximal Square Functions on Some Function Spaces</title><source>Project Euclid Open Access</source><source>JSTOR Archival Journals and Primary Sources Collection</source><creator>Si, Zengyan ; Xue, Qingying ; Zhang, Pu</creator><creatorcontrib>Si, Zengyan ; Xue, Qingying ; Zhang, Pu</creatorcontrib><description>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.</description><identifier>ISSN: 1027-5487</identifier><identifier>EISSN: 2224-6851</identifier><identifier>DOI: 10.11650/tjm/200101</identifier><language>eng</language><publisher>Mathematical Society of the Republic of China</publisher><ispartof>Taiwanese journal of mathematics, 2020-10, Vol.24 (5), p.1117-1138</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c292t-4f9e6e5a4eed200a057563fd74212335caa6ea487fc1971d1d16c8147ae4b9b03</citedby><cites>FETCH-LOGICAL-c292t-4f9e6e5a4eed200a057563fd74212335caa6ea487fc1971d1d16c8147ae4b9b03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/26973975$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/26973975$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,58238,58471</link.rule.ids></links><search><creatorcontrib>Si, Zengyan</creatorcontrib><creatorcontrib>Xue, Qingying</creatorcontrib><creatorcontrib>Zhang, Pu</creatorcontrib><title>Iterated Commutators of Multilinear Maximal Square Functions on Some Function Spaces</title><title>Taiwanese journal of mathematics</title><description>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.</description><issn>1027-5487</issn><issn>2224-6851</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNpFkE1Lw0AQhhdRsFZPnoW9S-zOZj-SoxQ_Ci0eWs9huplASj7q7gb037tYUeYwMDy8vPMwdgviAcBosYiHfiGFAAFnbCalVJkpNJyzGQhpM60Ke8muQjgIIQsDZsZ2q0geI9V8Ofb9FDGOPvCx4Zupi23XDoSeb_Cz7bHj248JPfHnaXCxHYfEDXw79v8Xvj2io3DNLhrsAt387jl7f37aLV-z9dvLavm4zpwsZcxUU5IhjYqoTqVRaKtN3tRWSZB5rh2iIUydGwelhTqNcQUoi6T25V7kc3Z_ynV-DMFTUx19Kuq_KhDVj5AqCalOQhJ9d6IPIT35h0pT2ry0Ov8GY3leCA</recordid><startdate>20201001</startdate><enddate>20201001</enddate><creator>Si, Zengyan</creator><creator>Xue, Qingying</creator><creator>Zhang, Pu</creator><general>Mathematical Society of the Republic of China</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20201001</creationdate><title>Iterated Commutators of Multilinear Maximal Square Functions on Some Function Spaces</title><author>Si, Zengyan ; Xue, Qingying ; Zhang, Pu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c292t-4f9e6e5a4eed200a057563fd74212335caa6ea487fc1971d1d16c8147ae4b9b03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Si, Zengyan</creatorcontrib><creatorcontrib>Xue, Qingying</creatorcontrib><creatorcontrib>Zhang, Pu</creatorcontrib><collection>CrossRef</collection><jtitle>Taiwanese journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Si, Zengyan</au><au>Xue, Qingying</au><au>Zhang, Pu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Iterated Commutators of Multilinear Maximal Square Functions on Some Function Spaces</atitle><jtitle>Taiwanese journal of mathematics</jtitle><date>2020-10-01</date><risdate>2020</risdate><volume>24</volume><issue>5</issue><spage>1117</spage><epage>1138</epage><pages>1117-1138</pages><issn>1027-5487</issn><eissn>2224-6851</eissn><abstract>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.</abstract><pub>Mathematical Society of the Republic of China</pub><doi>10.11650/tjm/200101</doi><tpages>22</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1027-5487
ispartof Taiwanese journal of mathematics, 2020-10, Vol.24 (5), p.1117-1138
issn 1027-5487
2224-6851
language eng
recordid cdi_crossref_primary_10_11650_tjm_200101
source Project Euclid Open Access; JSTOR Archival Journals and Primary Sources Collection
title Iterated Commutators of Multilinear Maximal Square Functions on Some Function Spaces
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T10%3A05%3A30IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Iterated%20Commutators%20of%20Multilinear%20Maximal%20Square%20Functions%20on%20Some%20Function%20Spaces&rft.jtitle=Taiwanese%20journal%20of%20mathematics&rft.au=Si,%20Zengyan&rft.date=2020-10-01&rft.volume=24&rft.issue=5&rft.spage=1117&rft.epage=1138&rft.pages=1117-1138&rft.issn=1027-5487&rft.eissn=2224-6851&rft_id=info:doi/10.11650/tjm/200101&rft_dat=%3Cjstor_cross%3E26973975%3C/jstor_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c292t-4f9e6e5a4eed200a057563fd74212335caa6ea487fc1971d1d16c8147ae4b9b03%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_jstor_id=26973975&rfr_iscdi=true