COMPOSITION OPERATORS ON STRICTLY PSEUDOCONVEX DOMAINS WITH SMOOTH SYMBOL
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Koo, Hyungwoon | - |
dc.contributor.author | Li, Song-Ying | - |
dc.date.accessioned | 2021-09-05T11:14:31Z | - |
dc.date.available | 2021-09-05T11:14:31Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2014-03 | - |
dc.identifier.issn | 0030-8730 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/99233 | - |
dc.description.abstract | It is well known that the composition operator C-phi is unbounded on Hardy and Bergman spaces on the unit ball B-n in C-n when n > 1 for a linear holomorphic self-map phi of B-n. We find a sufficient and necessary condition for a composition operator with smooth symbol to be bounded on Hardy or Bergman spaces over a bounded strictly pseudoconvex domain in C-n. Moreover, we show that this condition is equivalent to the compactness of the composition operator from a Hardy or Bergman space into the Bergman space whose weight is 1/4 bigger. We also prove that a certain jump phenomenon occurs when the composition operator is not bounded. Our results generalize known results on the unit ball to strictly pseudoconvex domains. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | PACIFIC JOURNAL MATHEMATICS | - |
dc.subject | BERGMAN | - |
dc.subject | SPACES | - |
dc.subject | HARDY | - |
dc.title | COMPOSITION OPERATORS ON STRICTLY PSEUDOCONVEX DOMAINS WITH SMOOTH SYMBOL | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Koo, Hyungwoon | - |
dc.identifier.doi | 10.2140/pjm.2014.268.135 | - |
dc.identifier.scopusid | 2-s2.0-84901313532 | - |
dc.identifier.wosid | 000338427400008 | - |
dc.identifier.bibliographicCitation | PACIFIC JOURNAL OF MATHEMATICS, v.268, no.1, pp.135 - 153 | - |
dc.relation.isPartOf | PACIFIC JOURNAL OF MATHEMATICS | - |
dc.citation.title | PACIFIC JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 268 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 135 | - |
dc.citation.endPage | 153 | - |
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 | - |
dc.subject.keywordPlus | SPACES | - |
dc.subject.keywordPlus | HARDY | - |
dc.subject.keywordAuthor | composition operator | - |
dc.subject.keywordAuthor | strictly pseudoconvex domain | - |
dc.subject.keywordAuthor | boundedness | - |
dc.subject.keywordAuthor | smooth symbol | - |
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