Precise inclusion relations among Bergman-Besov and Bloch-Lipschitz spaces and H∞ on the unit ball of CN

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buir.contributor.authorKaptanoğlu, Hakkı Turgay
dc.citation.epage2251en_US
dc.citation.issueNumber14-15en_US
dc.citation.spage2236en_US
dc.citation.volumeNumber291en_US
dc.contributor.authorKaptanoğlu, Hakkı Turgayen_US
dc.contributor.authorÜreyen, A. E.en_US
dc.date.accessioned2019-02-21T16:01:51Z
dc.date.available2019-02-21T16:01:51Z
dc.date.issued2018en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe describe exactly and fully which of the spaces of holomorphic functions in the title are included in which others. We provide either new results or new proofs. More importantly, we construct explicit functions in each space that show our relations are strict and the best possible. Many of our inclusions turn out to be sharper than the Sobolev imbeddings.
dc.embargo.release2019-10-04en_US
dc.identifier.doi10.1002/mana.201700236
dc.identifier.issn0025-584X
dc.identifier.urihttp://hdl.handle.net/11693/49929
dc.language.isoEnglish
dc.publisherWiley-VCH Verlag
dc.relation.isversionofhttps://doi.org/10.1002/mana.201700236
dc.source.titleMathematische Nachrichtenen_US
dc.subject30H20en_US
dc.subject30H25en_US
dc.subject32A05en_US
dc.subject32A18en_US
dc.subject32A36en_US
dc.subject32A37en_US
dc.subjectSecondary: 30B10en_US
dc.subject32W05en_US
dc.subject42B25en_US
dc.subject46E15en_US
dc.subjectAtomic decompositionen_US
dc.subjectBergmanen_US
dc.subjectBesoven_US
dc.subjectBlochen_US
dc.subjectBounded holomorphic functionen_US
dc.subjectHadamard gap seriesen_US
dc.subjectInclusionen_US
dc.subjectLipschitz spaceen_US
dc.subjectLittlewood-Paley inequalityen_US
dc.subjectPrimary: 30H05en_US
dc.subjectRyll-Wojtaszczyk polynomialen_US
dc.subjectSobolev imbeddingen_US
dc.titlePrecise inclusion relations among Bergman-Besov and Bloch-Lipschitz spaces and H∞ on the unit ball of CNen_US
dc.typeArticleen_US

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