Composition Operators on Bounded Convex Domains in C-n
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Koo, Hyungwoon | - |
dc.contributor.author | Li, Song-Ying | - |
dc.date.accessioned | 2021-09-03T21:44:35Z | - |
dc.date.available | 2021-09-03T21:44:35Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2016-08 | - |
dc.identifier.issn | 0378-620X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/88018 | - |
dc.description.abstract | We study composition operators on a class of bounded domains including convex domains Omega subset of C-n. We show that a general self-map phi of Omega always induces a bounded operator C-phi : A(alpha)(p)(Omega) -> A(alpha+n-1)(p) (Omega) and the weight gain n - 1 is optimal in certain sense. When phi is smooth, we provide explicit examples which reveal aspects quite different from the strongly pseudoconvex domain setting. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER BASEL AG | - |
dc.subject | PSEUDOCONVEX DOMAINS | - |
dc.subject | BERGMAN SPACES | - |
dc.subject | HARDY | - |
dc.title | Composition Operators on Bounded Convex Domains in C-n | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Koo, Hyungwoon | - |
dc.identifier.doi | 10.1007/s00020-016-2300-7 | - |
dc.identifier.scopusid | 2-s2.0-84968662187 | - |
dc.identifier.wosid | 000385068700005 | - |
dc.identifier.bibliographicCitation | INTEGRAL EQUATIONS AND OPERATOR THEORY, v.85, no.4, pp.555 - 572 | - |
dc.relation.isPartOf | INTEGRAL EQUATIONS AND OPERATOR THEORY | - |
dc.citation.title | INTEGRAL EQUATIONS AND OPERATOR THEORY | - |
dc.citation.volume | 85 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 555 | - |
dc.citation.endPage | 572 | - |
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 | PSEUDOCONVEX DOMAINS | - |
dc.subject.keywordPlus | BERGMAN SPACES | - |
dc.subject.keywordPlus | HARDY | - |
dc.subject.keywordAuthor | Composition operator | - |
dc.subject.keywordAuthor | Boundedness | - |
dc.subject.keywordAuthor | Convex domain | - |
dc.subject.keywordAuthor | Finite type domain | - |
dc.subject.keywordAuthor | Smooth symbol | - |
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