Weighted Bloch, Lipschitz, Zygmund, Bers, and growth spaces of the ball: Bergman projections and characterizations

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dc.citation.epage127en_US
dc.citation.issueNumber1en_US
dc.citation.spage101en_US
dc.citation.volumeNumber15en_US
dc.contributor.authorKaptanğlu, H. T.en_US
dc.contributor.authorTülü, S.en_US
dc.date.accessioned2016-02-08T09:54:40Z
dc.date.available2016-02-08T09:54:40Z
dc.date.issued2011en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe determine precise conditions for the boundedness of Bergman projections from Lebesgue classes onto the spaces in the title, which are members of the same one-parameter family of spaces. The projections provide integral representations for the functions in the spaces. We obtain many properties of the spaces as straightforward corollaries of the projections, integral representations, and isometries among the spaces. We solve the Gleason problem and an extremal problem for point evaluations in each space. We establish maximality of these spaces among those that exhibit M̈obius-type invariances and possess decent functionals. We find new Hermitian non-K̈ahlerian metrics that characterize half of these spaces by Lipschitz-type inequalities.en_US
dc.identifier.eissn2224-6851
dc.identifier.issn1027-5487
dc.identifier.urihttp://hdl.handle.net/11693/22044
dc.language.isoEnglishen_US
dc.publisherMathematical Society of the Republic of China,Zhonghua Minguo Shuxuehuien_US
dc.source.titleTaiwanese Journal of Mathematicsen_US
dc.titleWeighted Bloch, Lipschitz, Zygmund, Bers, and growth spaces of the ball: Bergman projections and characterizationsen_US
dc.typeArticleen_US
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