Dichotomies for Lorentz spaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Glab, Szymon | - |
dc.contributor.author | Strobin, Filip | - |
dc.contributor.author | Yang, Chan Woo | - |
dc.date.accessioned | 2021-09-06T00:21:08Z | - |
dc.date.available | 2021-09-06T00:21:08Z | - |
dc.date.created | 2021-06-14 | - |
dc.date.issued | 2013-07 | - |
dc.identifier.issn | 1895-1074 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/102885 | - |
dc.description.abstract | Assume that L-p,L-q; L-p1,L-q1 , ..., L-pn,L-qn are Lorentz spaces. This article studies the question: what is the size of the set E = {(f(1),..., f(n)) is an element of L-p1,L-q1 x ... x L-pn,L-qn : f(1) ... f(n) is an element of L-p,L-q}. We prove the following dichotomy: either E = L-p1,L-q1 x ... x L-pn,L-qn or E is sigma-porous in L-p1,L-q1 x ... x L-pn,L-qn , provided 1/p not equal 1/p(1) + ... + 1/p(n). In general case we obtain that either E = L-p1,L-q1 x ... x L-pn,L-qn or E is meager. This is a generalization of the results for classical L-p spaces. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SCIENDO | - |
dc.title | Dichotomies for Lorentz spaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Yang, Chan Woo | - |
dc.identifier.doi | 10.2478/s11533-013-0241-9 | - |
dc.identifier.scopusid | 2-s2.0-84876905422 | - |
dc.identifier.wosid | 000318278400006 | - |
dc.identifier.bibliographicCitation | CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, v.11, no.7, pp.1228 - 1242 | - |
dc.relation.isPartOf | CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | - |
dc.citation.title | CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 11 | - |
dc.citation.number | 7 | - |
dc.citation.startPage | 1228 | - |
dc.citation.endPage | 1242 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Lorentz spaces | - |
dc.subject.keywordAuthor | Integration | - |
dc.subject.keywordAuthor | Baire category | - |
dc.subject.keywordAuthor | Porosity | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
(02841) 서울특별시 성북구 안암로 14502-3290-1114
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.