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Finite rank product theorems for Toeplitz operators on the half-space

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dc.contributor.authorChoe, Boo Rim-
dc.contributor.authorKoo, Hyungwoon-
dc.contributor.authorNam, Kyesook-
dc.date.accessioned2021-09-08T15:50:23Z-
dc.date.available2021-09-08T15:50:23Z-
dc.date.created2021-06-10-
dc.date.issued2009-07-
dc.identifier.issn0025-5645-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/119758-
dc.description.abstractOn the harmonic Bergman space of the half space in R-n, we show that if the product of two or more Toeplitz operators with harmonic symbols that have certain boundary smoothness has finite rank, then one of the symbols must be identically 0. Our methods require the number of factors in the product to depend on the dimension n.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherMATH SOC JAPAN-
dc.subjectHARMONIC BERGMAN FUNCTIONS-
dc.subjectZERO PRODUCTS-
dc.subjectSYMBOLS-
dc.subjectDOMAINS-
dc.titleFinite rank product theorems for Toeplitz operators on the half-space-
dc.typeArticle-
dc.contributor.affiliatedAuthorChoe, Boo Rim-
dc.contributor.affiliatedAuthorKoo, Hyungwoon-
dc.identifier.doi10.2969/jmsj/06130885-
dc.identifier.scopusid2-s2.0-70349437804-
dc.identifier.wosid000268547900008-
dc.identifier.bibliographicCitationJOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, v.61, no.3, pp.885 - 919-
dc.relation.isPartOfJOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN-
dc.citation.titleJOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN-
dc.citation.volume61-
dc.citation.number3-
dc.citation.startPage885-
dc.citation.endPage919-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusHARMONIC BERGMAN FUNCTIONS-
dc.subject.keywordPlusZERO PRODUCTS-
dc.subject.keywordPlusSYMBOLS-
dc.subject.keywordPlusDOMAINS-
dc.subject.keywordAuthorToeplitz operator-
dc.subject.keywordAuthorzero product-
dc.subject.keywordAuthorharmonic Bergman space-
dc.subject.keywordAuthorhalf-space-
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