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Compact linear combinations of composition operators induced by linear fractional maps
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Choe, Boo Rim | - |
| dc.contributor.author | Koo, Hyungwoon | - |
| dc.contributor.author | Wang, Maofa | - |
| dc.contributor.author | Yang, Jongho | - |
| dc.date.accessioned | 2021-09-04T14:04:04Z | - |
| dc.date.available | 2021-09-04T14:04:04Z | - |
| dc.date.created | 2021-06-18 | - |
| dc.date.issued | 2015-08 | - |
| dc.identifier.issn | 0025-5874 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/92961 | - |
| dc.description.abstract | It has been known that the difference of two composition operators induced by linear fractional self-maps of a ball cannot be nontrivially compact on either the Hardy space or any standard weighted Bergman space. In this paper we extend this result in two significant directions: the difference is extended to general linear combinations and inducing maps are extended to linear fractional maps taking a ball into another possibly of different dimension. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | SPRINGER HEIDELBERG | - |
| dc.subject | BERGMAN SPACES | - |
| dc.subject | UNIT BALL | - |
| dc.subject | DIFFERENCE | - |
| dc.title | Compact linear combinations of composition operators induced by linear fractional maps | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Choe, Boo Rim | - |
| dc.contributor.affiliatedAuthor | Koo, Hyungwoon | - |
| dc.identifier.doi | 10.1007/s00209-015-1449-0 | - |
| dc.identifier.scopusid | 2-s2.0-84937975139 | - |
| dc.identifier.wosid | 000358208300011 | - |
| dc.identifier.bibliographicCitation | MATHEMATISCHE ZEITSCHRIFT, v.280, no.3-4, pp.807 - 824 | - |
| dc.relation.isPartOf | MATHEMATISCHE ZEITSCHRIFT | - |
| dc.citation.title | MATHEMATISCHE ZEITSCHRIFT | - |
| dc.citation.volume | 280 | - |
| dc.citation.number | 3-4 | - |
| dc.citation.startPage | 807 | - |
| dc.citation.endPage | 824 | - |
| 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.keywordPlus | BERGMAN SPACES | - |
| dc.subject.keywordPlus | UNIT BALL | - |
| dc.subject.keywordPlus | DIFFERENCE | - |
| dc.subject.keywordAuthor | Linear combination of composition operators | - |
| dc.subject.keywordAuthor | Linear fractional map | - |
| dc.subject.keywordAuthor | Compact operator | - |
| dc.subject.keywordAuthor | Hardy space | - |
| dc.subject.keywordAuthor | Weighted Bergman space | - |
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