Class of hypocomplex structures on the two-dimensional torus

Class of hypocomplex structures on the two-dimensional torus

We study the Hölder solvability of a class of complex vector fields on the torus \mathbb{T}^2. We make use of the Theta function to associate a Cauchy-Pompeiu type integral operator. A similarity principle for the solutions of the equation Lu=au+b\bar {u} is obtained.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the American Mathematical Society 2019-09, Vol.147 (9), p.3937-3946
Hauptverfasser: MEZIANI, ABDELHAMID, ZUGLIANI, GIULIANO
Format: Artikel
Sprache:eng
Schlagworte:
B. ANALYSIS
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 3946
container_issue 9
container_start_page 3937
container_title Proceedings of the American Mathematical Society
container_volume 147
creator MEZIANI, ABDELHAMID
ZUGLIANI, GIULIANO
description We study the Hölder solvability of a class of complex vector fields on the torus \mathbb{T}^2. We make use of the Theta function to associate a Cauchy-Pompeiu type integral operator. A similarity principle for the solutions of the equation Lu=au+b\bar {u} is obtained.
doi_str_mv 10.1090/proc/14674
format Article
fullrecord <record><control><sourceid>jstor_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1090_proc_14674</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>26771641</jstor_id><sourcerecordid>26771641</sourcerecordid><originalsourceid>FETCH-LOGICAL-a283t-59008210b6231aff6b74221eabc18bf688716d6774ab1546166f5d9761bdc3593</originalsourceid><addsrcrecordid>eNp9j01LxDAURYMoWEc37oVu3Ah18tL0JQE3UsYPGHCj65K2CdOhbUrSovPv7Vhx6epxuZfDO4RcA70Hquh68K5aA0fBT0gEVMoEJcNTElFKWaJUqs7JRQj7OYLiIiIPeatDiJ2Nd4fBVa4bWvMVh9FP1Th5Mzd9PO5MPH66pG4604fG9bqNR-encEnOrG6Dufq9K_LxtHnPX5Lt2_Nr_rhNNJPpmGSKUsmAlshS0NZiKThjYHRZgSwtSikAaxSC6xIyjoBos1oJhLKu0kylK3K3cCvvQvDGFoNvOu0PBdDi6F0cvYsf73l8s4z3YX7yb8lmPiCHub9det2F_zjfgwRg-A</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Class of hypocomplex structures on the two-dimensional torus</title><source>American Mathematical Society Publications</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>MEZIANI, ABDELHAMID ; ZUGLIANI, GIULIANO</creator><creatorcontrib>MEZIANI, ABDELHAMID ; ZUGLIANI, GIULIANO</creatorcontrib><description>We study the Hölder solvability of a class of complex vector fields on the torus \mathbb{T}^2. We make use of the Theta function to associate a Cauchy-Pompeiu type integral operator. A similarity principle for the solutions of the equation Lu=au+b\bar {u} is obtained.</description><identifier>ISSN: 0002-9939</identifier><identifier>EISSN: 1088-6826</identifier><identifier>DOI: 10.1090/proc/14674</identifier><language>eng</language><publisher>American Mathematical Society</publisher><subject>B. ANALYSIS</subject><ispartof>Proceedings of the American Mathematical Society, 2019-09, Vol.147 (9), p.3937-3946</ispartof><rights>Copyright 2019, American Mathematical Society</rights><rights>2019 American Mathematical Society</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a283t-59008210b6231aff6b74221eabc18bf688716d6774ab1546166f5d9761bdc3593</citedby><cites>FETCH-LOGICAL-a283t-59008210b6231aff6b74221eabc18bf688716d6774ab1546166f5d9761bdc3593</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttp://www.ams.org/proc/2019-147-09/S0002-9939-2019-14674-8/S0002-9939-2019-14674-8.pdf$$EPDF$$P50$$Gams$$H</linktopdf><linktohtml>$$Uhttp://www.ams.org/proc/2019-147-09/S0002-9939-2019-14674-8/$$EHTML$$P50$$Gams$$H</linktohtml><link.rule.ids>68,314,777,781,23309,27905,27906,77585,77595</link.rule.ids></links><search><creatorcontrib>MEZIANI, ABDELHAMID</creatorcontrib><creatorcontrib>ZUGLIANI, GIULIANO</creatorcontrib><title>Class of hypocomplex structures on the two-dimensional torus</title><title>Proceedings of the American Mathematical Society</title><description>We study the Hölder solvability of a class of complex vector fields on the torus \mathbb{T}^2. We make use of the Theta function to associate a Cauchy-Pompeiu type integral operator. A similarity principle for the solutions of the equation Lu=au+b\bar {u} is obtained.</description><subject>B. ANALYSIS</subject><issn>0002-9939</issn><issn>1088-6826</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9j01LxDAURYMoWEc37oVu3Ah18tL0JQE3UsYPGHCj65K2CdOhbUrSovPv7Vhx6epxuZfDO4RcA70Hquh68K5aA0fBT0gEVMoEJcNTElFKWaJUqs7JRQj7OYLiIiIPeatDiJ2Nd4fBVa4bWvMVh9FP1Th5Mzd9PO5MPH66pG4604fG9bqNR-encEnOrG6Dufq9K_LxtHnPX5Lt2_Nr_rhNNJPpmGSKUsmAlshS0NZiKThjYHRZgSwtSikAaxSC6xIyjoBos1oJhLKu0kylK3K3cCvvQvDGFoNvOu0PBdDi6F0cvYsf73l8s4z3YX7yb8lmPiCHub9det2F_zjfgwRg-A</recordid><startdate>20190901</startdate><enddate>20190901</enddate><creator>MEZIANI, ABDELHAMID</creator><creator>ZUGLIANI, GIULIANO</creator><general>American Mathematical Society</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190901</creationdate><title>Class of hypocomplex structures on the two-dimensional torus</title><author>MEZIANI, ABDELHAMID ; ZUGLIANI, GIULIANO</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a283t-59008210b6231aff6b74221eabc18bf688716d6774ab1546166f5d9761bdc3593</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>B. ANALYSIS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>MEZIANI, ABDELHAMID</creatorcontrib><creatorcontrib>ZUGLIANI, GIULIANO</creatorcontrib><collection>CrossRef</collection><jtitle>Proceedings of the American Mathematical Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>MEZIANI, ABDELHAMID</au><au>ZUGLIANI, GIULIANO</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Class of hypocomplex structures on the two-dimensional torus</atitle><jtitle>Proceedings of the American Mathematical Society</jtitle><date>2019-09-01</date><risdate>2019</risdate><volume>147</volume><issue>9</issue><spage>3937</spage><epage>3946</epage><pages>3937-3946</pages><issn>0002-9939</issn><eissn>1088-6826</eissn><abstract>We study the Hölder solvability of a class of complex vector fields on the torus \mathbb{T}^2. We make use of the Theta function to associate a Cauchy-Pompeiu type integral operator. A similarity principle for the solutions of the equation Lu=au+b\bar {u} is obtained.</abstract><pub>American Mathematical Society</pub><doi>10.1090/proc/14674</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0002-9939
ispartof Proceedings of the American Mathematical Society, 2019-09, Vol.147 (9), p.3937-3946
issn 0002-9939
1088-6826
language eng
recordid cdi_crossref_primary_10_1090_proc_14674
source American Mathematical Society Publications; EZB-FREE-00999 freely available EZB journals
subjects B. ANALYSIS
title Class of hypocomplex structures on the two-dimensional torus
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T18%3A40%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=Class%20of%20hypocomplex%20structures%20on%20the%20two-dimensional%20torus&rft.jtitle=Proceedings%20of%20the%20American%20Mathematical%20Society&rft.au=MEZIANI,%20ABDELHAMID&rft.date=2019-09-01&rft.volume=147&rft.issue=9&rft.spage=3937&rft.epage=3946&rft.pages=3937-3946&rft.issn=0002-9939&rft.eissn=1088-6826&rft_id=info:doi/10.1090/proc/14674&rft_dat=%3Cjstor_cross%3E26771641%3C/jstor_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_jstor_id=26771641&rfr_iscdi=true