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Finite rank Toeplitz products with harmonic symbols

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dc.contributor.authorChoe, Boo Rim-
dc.contributor.authorKoo, Hyungwoon-
dc.contributor.authorLee, Young Joo-
dc.date.accessioned2021-09-09T06:15:37Z-
dc.date.available2021-09-09T06:15:37Z-
dc.date.created2021-06-10-
dc.date.issued2008-07-01-
dc.identifier.issn0022-247X-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/123044-
dc.description.abstractOn the Bergman space of the unit ball of C-n, we study the finite rank problem for Toeplitz products with harmonic symbols. We first solve the problem with two factors in case symbols have local continuous extension property up to the boundary. Also, in case symbols have additional Lipschitz continuity up to (some part of) the boundary, we solve the problem for multiple products with number of factors depending on the dimension n. Analogous theorems on the polydisk are also obtained. (c) 2008 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectBEREZIN TRANSFORM-
dc.subjectZERO PRODUCTS-
dc.subjectOPERATORS-
dc.subjectDOMAINS-
dc.titleFinite rank Toeplitz products with harmonic symbols-
dc.typeArticle-
dc.contributor.affiliatedAuthorChoe, Boo Rim-
dc.contributor.affiliatedAuthorKoo, Hyungwoon-
dc.identifier.doi10.1016/j.jmaa.2008.01.019-
dc.identifier.scopusid2-s2.0-41449114932-
dc.identifier.wosid000255653900008-
dc.identifier.bibliographicCitationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.343, no.1, pp.81 - 98-
dc.relation.isPartOfJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.titleJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.volume343-
dc.citation.number1-
dc.citation.startPage81-
dc.citation.endPage98-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusBEREZIN TRANSFORM-
dc.subject.keywordPlusZERO PRODUCTS-
dc.subject.keywordPlusOPERATORS-
dc.subject.keywordPlusDOMAINS-
dc.subject.keywordAuthorfinite rank-
dc.subject.keywordAuthorToeplitz operator-
dc.subject.keywordAuthorharmonic symbol-
dc.subject.keywordAuthorBergman space-
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