A universal criterion for quasi-analytic classes in Jordan domains

Carleman classes in Jordan domains in the complex plane are investigated. A criterion for regular Carleman classes to be quasi-analytic is established, which is universal in a certain sense for all weakly uniform domains. The proof is based on a solution of the Dirichlet problem with unbounded bound...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Sbornik. Mathematics 2018-12, Vol.209 (12), p.1728-1744
1. Verfasser:	Gaisin, R. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Criteria Dirichlet problem Domains harmonic measure quasi-analytic classes in Jordan domains
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page	1744
container_issue	12
container_start_page	1728
container_title	Sbornik. Mathematics
container_volume	209
creator	Gaisin, R. A.
description	Carleman classes in Jordan domains in the complex plane are investigated. A criterion for regular Carleman classes to be quasi-analytic is established, which is universal in a certain sense for all weakly uniform domains. The proof is based on a solution of the Dirichlet problem with unbounded boundary function, and a result on bounds for the harmonic measure due to Beurling plays a substantial role. Bibliography: 20 titles.
doi_str_mv	10.1070/SM8655
format	Article
fullrecord	<record><control><sourceid>proquest_iop_j</sourceid><recordid>TN_cdi_iop_journals_10_1070_SM8655</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2357589916</sourcerecordid><originalsourceid>FETCH-LOGICAL-c278t-4baac4fa041cf10b3ef4c9b151583acbfe346fc6a2fa4f75c0a73187261385e23</originalsourceid><addsrcrecordid>eNpd0EtLAzEUBeAgCtaqvyEouBvNe9JlLfVFxYW6Hu6kCaRMJ23ujNB_78gIgqt7Fx-HwyHkkrNbzkp29_5qjdZHZMKVsYWyTBwPPzOq0IabU3KGuGGMacHthNzPad_GL58RGupy7HyOqaUhZbrvAWMBLTSHLjrqGkD0SGNLX1JeQ0vXaQuxxXNyEqBBf_F7p-TzYfmxeCpWb4_Pi_mqcKK0XaFqAKcCMMVd4KyWPig3q7nm2kpwdfBSmeAMiAAqlNoxKCW3pTBcWu2FnJLrMXeX07732FWb1OehHlZC6lLb2YybQd2MyuWEmH2odjluIR8qzqqffapxnwFejTCm3V_SP_QNRsph4Q</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2357589916</pqid></control><display><type>article</type><title>A universal criterion for quasi-analytic classes in Jordan domains</title><source>IOP Publishing Journals</source><source>Alma/SFX Local Collection</source><creator>Gaisin, R. A.</creator><creatorcontrib>Gaisin, R. A.</creatorcontrib><description>Carleman classes in Jordan domains in the complex plane are investigated. A criterion for regular Carleman classes to be quasi-analytic is established, which is universal in a certain sense for all weakly uniform domains. The proof is based on a solution of the Dirichlet problem with unbounded boundary function, and a result on bounds for the harmonic measure due to Beurling plays a substantial role. Bibliography: 20 titles.</description><identifier>ISSN: 1064-5616</identifier><identifier>EISSN: 1468-4802</identifier><identifier>DOI: 10.1070/SM8655</identifier><language>eng</language><publisher>Providence: London Mathematical Society, Turpion Ltd and the Russian Academy of Sciences</publisher><subject>Criteria ; Dirichlet problem ; Domains ; harmonic measure ; quasi-analytic classes in Jordan domains</subject><ispartof>Sbornik. Mathematics, 2018-12, Vol.209 (12), p.1728-1744</ispartof><rights>2018 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.</rights><rights>Copyright IOP Publishing Dec 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c278t-4baac4fa041cf10b3ef4c9b151583acbfe346fc6a2fa4f75c0a73187261385e23</citedby><cites>FETCH-LOGICAL-c278t-4baac4fa041cf10b3ef4c9b151583acbfe346fc6a2fa4f75c0a73187261385e23</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1070/SM8655/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>314,776,780,27903,27904,53824</link.rule.ids></links><search><creatorcontrib>Gaisin, R. A.</creatorcontrib><title>A universal criterion for quasi-analytic classes in Jordan domains</title><title>Sbornik. Mathematics</title><addtitle>MSB</addtitle><addtitle>Sb. Math</addtitle><description>Carleman classes in Jordan domains in the complex plane are investigated. A criterion for regular Carleman classes to be quasi-analytic is established, which is universal in a certain sense for all weakly uniform domains. The proof is based on a solution of the Dirichlet problem with unbounded boundary function, and a result on bounds for the harmonic measure due to Beurling plays a substantial role. Bibliography: 20 titles.</description><subject>Criteria</subject><subject>Dirichlet problem</subject><subject>Domains</subject><subject>harmonic measure</subject><subject>quasi-analytic classes in Jordan domains</subject><issn>1064-5616</issn><issn>1468-4802</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNpd0EtLAzEUBeAgCtaqvyEouBvNe9JlLfVFxYW6Hu6kCaRMJ23ujNB_78gIgqt7Fx-HwyHkkrNbzkp29_5qjdZHZMKVsYWyTBwPPzOq0IabU3KGuGGMacHthNzPad_GL58RGupy7HyOqaUhZbrvAWMBLTSHLjrqGkD0SGNLX1JeQ0vXaQuxxXNyEqBBf_F7p-TzYfmxeCpWb4_Pi_mqcKK0XaFqAKcCMMVd4KyWPig3q7nm2kpwdfBSmeAMiAAqlNoxKCW3pTBcWu2FnJLrMXeX07732FWb1OehHlZC6lLb2YybQd2MyuWEmH2odjluIR8qzqqffapxnwFejTCm3V_SP_QNRsph4Q</recordid><startdate>201812</startdate><enddate>201812</enddate><creator>Gaisin, R. A.</creator><general>London Mathematical Society, Turpion Ltd and the Russian Academy of Sciences</general><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>201812</creationdate><title>A universal criterion for quasi-analytic classes in Jordan domains</title><author>Gaisin, R. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c278t-4baac4fa041cf10b3ef4c9b151583acbfe346fc6a2fa4f75c0a73187261385e23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Criteria</topic><topic>Dirichlet problem</topic><topic>Domains</topic><topic>harmonic measure</topic><topic>quasi-analytic classes in Jordan domains</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gaisin, R. A.</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Sbornik. Mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gaisin, R. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A universal criterion for quasi-analytic classes in Jordan domains</atitle><jtitle>Sbornik. Mathematics</jtitle><stitle>MSB</stitle><addtitle>Sb. Math</addtitle><date>2018-12</date><risdate>2018</risdate><volume>209</volume><issue>12</issue><spage>1728</spage><epage>1744</epage><pages>1728-1744</pages><issn>1064-5616</issn><eissn>1468-4802</eissn><abstract>Carleman classes in Jordan domains in the complex plane are investigated. A criterion for regular Carleman classes to be quasi-analytic is established, which is universal in a certain sense for all weakly uniform domains. The proof is based on a solution of the Dirichlet problem with unbounded boundary function, and a result on bounds for the harmonic measure due to Beurling plays a substantial role. Bibliography: 20 titles.</abstract><cop>Providence</cop><pub>London Mathematical Society, Turpion Ltd and the Russian Academy of Sciences</pub><doi>10.1070/SM8655</doi><tpages>17</tpages></addata></record>
fulltext	fulltext
identifier	ISSN: 1064-5616
ispartof	Sbornik. Mathematics, 2018-12, Vol.209 (12), p.1728-1744
issn	1064-5616 1468-4802
language	eng
recordid	cdi_iop_journals_10_1070_SM8655
source	IOP Publishing Journals; Alma/SFX Local Collection
subjects	Criteria Dirichlet problem Domains harmonic measure quasi-analytic classes in Jordan domains
title	A universal criterion for quasi-analytic classes in Jordan domains
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-27T00%3A28%3A37IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_iop_j&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20universal%20criterion%20for%20quasi-analytic%20classes%20in%20Jordan%20domains&rft.jtitle=Sbornik.%20Mathematics&rft.au=Gaisin,%20R.%20A.&rft.date=2018-12&rft.volume=209&rft.issue=12&rft.spage=1728&rft.epage=1744&rft.pages=1728-1744&rft.issn=1064-5616&rft.eissn=1468-4802&rft_id=info:doi/10.1070/SM8655&rft_dat=%3Cproquest_iop_j%3E2357589916%3C/proquest_iop_j%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2357589916&rft_id=info:pmid/&rfr_iscdi=true