DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ahern, Patrick | ko |
dc.contributor.author | Kim, Hong-Oh | ko |
dc.date.accessioned | 2015-04-07T04:35:20Z | - |
dc.date.available | 2015-04-07T04:35:20Z | - |
dc.date.created | 2015-02-05 | - |
dc.date.created | 2015-02-05 | - |
dc.date.created | 2015-02-05 | - |
dc.date.issued | 2015-01 | - |
dc.identifier.citation | COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, v.60, no.1, pp.118 - 133 | - |
dc.identifier.issn | 1747-6933 | - |
dc.identifier.uri | http://hdl.handle.net/10203/195181 | - |
dc.description.abstract | We start with an identity for a Nevanlinna class function :where is the usual Nevanlinna counting function, and are the numerator singular measure for and the denominator singular measure for . We study potential theoretic properties for the complete Nevanlinna counting function for . For example, is shown to be subharmonic in and the behaviour at the boundary point of is related to the singular measure and that at infinity to . When , meaning the nontangential boundary values a.e. , is shown to be a subharmonic extension of the Green's function for with pole at , which is unique in an appropriate sense. This property of gives new descriptions for the Green's function and harmonic measures for the Green domain , as well as a classification of boundary points of . Finally, in the case of covering map , has no numerator singular factor for any. | - |
dc.language | English | - |
dc.publisher | TAYLOR & FRANCIS LTD | - |
dc.title | Complete Nevanlinna counting functions of boundary-preserving Nevanlinna functions | - |
dc.type | Article | - |
dc.identifier.wosid | 000347289900010 | - |
dc.identifier.scopusid | 2-s2.0-84920512114 | - |
dc.type.rims | ART | - |
dc.citation.volume | 60 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 118 | - |
dc.citation.endingpage | 133 | - |
dc.citation.publicationname | COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | - |
dc.identifier.doi | 10.1080/17476933.2014.898275 | - |
dc.contributor.localauthor | Kim, Hong-Oh | - |
dc.contributor.nonIdAuthor | Ahern, Patrick | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | complete Nevanlinna counting function | - |
dc.subject.keywordAuthor | Green&apos | - |
dc.subject.keywordAuthor | s function | - |
dc.subject.keywordAuthor | X-domain | - |
dc.subject.keywordAuthor | covering map | - |
dc.subject.keywordAuthor | complete Nevanlinna counting function | - |
dc.subject.keywordAuthor | Green&apos | - |
dc.subject.keywordAuthor | s function | - |
dc.subject.keywordAuthor | X-domain | - |
dc.subject.keywordAuthor | covering map | - |
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