Joint Carleson measure and the difference of composition operators on A(alpha)(p)(B-n)
DC Field | Value | Language |
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dc.contributor.author | Koo, Hyungwoon | - |
dc.contributor.author | Wang, Maofa | - |
dc.date.accessioned | 2021-09-05T02:56:07Z | - |
dc.date.available | 2021-09-05T02:56:07Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2014-11-15 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/96765 | - |
dc.description.abstract | We introduce a concept of joint Carleson measure and characterize when the difference of two composition operators on Ag,(B), the weighted Bergman space over the unit ball B,, in C", is bounded or compact. We apply this joint Carleson measure characterization to composition operators with smooth symbols and construct an interesting example which shows that the boundedness or the compactness depends on p when n > 2. This is in sharp contrast with the single composition operator case where the boundedness or the compactness is independent of p> 0. Moreover, the compact difference on the weighted Bergman spaces over the unit disc is known to be independent of p > 0, and the compact difference on 4, (137,) is known to be independent of p> 0 if each composition operator is bounded on A(B) for some 1 <3 <a [2]. 2014 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | COMPACT DIFFERENCES | - |
dc.subject | SPACES | - |
dc.title | Joint Carleson measure and the difference of composition operators on A(alpha)(p)(B-n) | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Koo, Hyungwoon | - |
dc.identifier.doi | 10.1016/j.jmaa.2014.05.037 | - |
dc.identifier.scopusid | 2-s2.0-84903447401 | - |
dc.identifier.wosid | 000338908600029 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.419, no.2, pp.1119 - 1142 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 419 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 1119 | - |
dc.citation.endPage | 1142 | - |
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, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | COMPACT DIFFERENCES | - |
dc.subject.keywordPlus | SPACES | - |
dc.subject.keywordAuthor | Difference of composition operators | - |
dc.subject.keywordAuthor | Boundedness | - |
dc.subject.keywordAuthor | Compactness | - |
dc.subject.keywordAuthor | Carleson measure | - |
dc.subject.keywordAuthor | Unit ball | - |
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