DC Field | Value | Language |
---|---|---|
dc.contributor.author | CHOI, YUN SUNG | - |
dc.contributor.author | KIM, UN YOUNG | - |
dc.contributor.author | MAESTRE, MANUEL | - |
dc.date.accessioned | 2018-07-16T09:40:52Z | - |
dc.date.available | 2018-07-16T09:40:52Z | - |
dc.date.created | 2018-07-04 | - |
dc.date.issued | 2018-07 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/91955 | - |
dc.description.abstract | We study when the spaces of general Dirichlet series bounded on a half plane are Banach spaces, and show that some of those classes are isometrically isomorphic between themselves. In a precise way, let {lambda(n)} be a strictly increasing sequence of positive real numbers such that lim(n ->infinity) lambda(n) = infinity. We denote by H-infinity(lambda n) the complex normed space of all Dirichlet series D(s) = Sigma(n)b(n)lambda(-s)(n), which are convergent and bounded on the half plane [Re s > 0], endowed with the norm parallel to D parallel to(infinity) = sup( Re s>0) vertical bar D(s)vertical bar. If (*) there exists q > 0 such that inf(n), (lambda(q)(n+1) - lambda(q)(n)) > 0, then H-infinity (lambda(n)) is a Banach space. Further, if there exists a strictly increasing sequence {r(n)} of positive numbers such that the sequence {log r(n)} is Q-linearly independent, mu(n) = r(alpha) for n = p(alpha), and {lambda(n)} is the increasing rearrangement of the sequence {mu(n)}, then H-infinity (lambda(n)) is isometrically isomorphic to H-infinity (B-co). With this condition (*) we explain more explicitly the optimal cases of the difference among the abscissas sigma(c), sigma(b), sigma(u) and sigma(a). (C) 2018 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.subject | Dirichlet series | - |
dc.subject | Abscissa | - |
dc.title | Banach spaces of general Dirichlet series | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.jmaa.2018.05.036 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.465, no.2, pp.839 - 856 | - |
dc.identifier.wosid | 000435747300009 | - |
dc.citation.endPage | 856 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 839 | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 465 | - |
dc.contributor.affiliatedAuthor | CHOI, YUN SUNG | - |
dc.contributor.affiliatedAuthor | KIM, UN YOUNG | - |
dc.identifier.scopusid | 2-s2.0-85047300832 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | COMPOSITION OPERATORS | - |
dc.subject.keywordPlus | HARDY-SPACES | - |
dc.subject.keywordPlus | APPROXIMATION | - |
dc.subject.keywordPlus | CONVERGENCE | - |
dc.subject.keywordAuthor | Dirichlet series | - |
dc.subject.keywordAuthor | Abscissa | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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