Composition as an integral operator
DC Field | Value | Language |
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dc.contributor.author | Choe, Boo Rim | - |
dc.contributor.author | Koo, Hyungwoon | - |
dc.contributor.author | Smith, Wayne | - |
dc.date.accessioned | 2021-09-04T18:05:46Z | - |
dc.date.available | 2021-09-04T18:05:46Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2015-03-19 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/94107 | - |
dc.description.abstract | Let S be the unit sphere and B the unit ball in C-n, and denote by L-1 (S) the usual Lebesgue space of integrable functions on S. We define four "composition operators" acting on L-1 (S) and associated with a Borel function phi : S -> (B) over bar, by first taking one of four natural extensions of f is an element of L-1 (S) to a function on (B) over bar, then composing with phi and taking radial limits. Classical composition operators acting on Hardy spaces of holomorphic functions correspond to a special case. Our main results provide characterizations of when the operators we introduce are bounded or compact on L-t(S), 1 <= t < infinity. Dependence on t and relations between the characterizations for the different operators are also studied. (C) 2014 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Composition as an integral operator | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Choe, Boo Rim | - |
dc.contributor.affiliatedAuthor | Koo, Hyungwoon | - |
dc.identifier.doi | 10.1016/j.aim.2014.12.022 | - |
dc.identifier.scopusid | 2-s2.0-84921064646 | - |
dc.identifier.wosid | 000355233300005 | - |
dc.identifier.bibliographicCitation | ADVANCES IN MATHEMATICS, v.273, pp.149 - 187 | - |
dc.relation.isPartOf | ADVANCES IN MATHEMATICS | - |
dc.citation.title | ADVANCES IN MATHEMATICS | - |
dc.citation.volume | 273 | - |
dc.citation.startPage | 149 | - |
dc.citation.endPage | 187 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Composition operator | - |
dc.subject.keywordAuthor | Boundedness | - |
dc.subject.keywordAuthor | Compactness | - |
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