Ranks of commutators of Toeplitz operators on the harmonic Bergman space
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chen, Yong | - |
dc.contributor.author | Koo, Hyungwoon | - |
dc.contributor.author | Lee, Young Joo | - |
dc.date.accessioned | 2021-09-06T05:53:04Z | - |
dc.date.available | 2021-09-06T05:53:04Z | - |
dc.date.created | 2021-06-14 | - |
dc.date.issued | 2013-01 | - |
dc.identifier.issn | 0378-620X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/104378 | - |
dc.description.abstract | We study the rank of commutators of two Toeplitz operators on the harmonic Bergman space of the unit disk. We first show that the commutator of any two Toeplitz operators with general symbols can't have an odd rank. But, given any integer n a parts per thousand yen 0, we also show that there are two symbols for which the corresponding Toeplitz operators induce the commutator with rank 2n exactly. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER BASEL AG | - |
dc.subject | SYMBOLS | - |
dc.title | Ranks of commutators of Toeplitz operators on the harmonic Bergman space | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Koo, Hyungwoon | - |
dc.identifier.doi | 10.1007/s00020-012-2020-6 | - |
dc.identifier.scopusid | 2-s2.0-84871934652 | - |
dc.identifier.wosid | 000313005900004 | - |
dc.identifier.bibliographicCitation | INTEGRAL EQUATIONS AND OPERATOR THEORY, v.75, no.1, pp.31 - 38 | - |
dc.relation.isPartOf | INTEGRAL EQUATIONS AND OPERATOR THEORY | - |
dc.citation.title | INTEGRAL EQUATIONS AND OPERATOR THEORY | - |
dc.citation.volume | 75 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 31 | - |
dc.citation.endPage | 38 | - |
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 | SYMBOLS | - |
dc.subject.keywordAuthor | Toeplitz operator | - |
dc.subject.keywordAuthor | harmonic Bergman space | - |
dc.subject.keywordAuthor | finite rank | - |
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