Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2771
Title: Weighted bloch, lipschitz, zygmund, bers, and growth spaces of the ball: Bergman projections and characterizations
Authors: Kaptanoğlu, Hakkı Turgay
Tülü, Serdar
Tülü, Serdar
Izmir Institute of Technology. Mathematics
Keywords: Bergman projection
Bloch
Lipschitz
Zygmund
Growth
Bers
Besov space
Isometry
Gleason problem
Slice function
Boundary growth
Taylor coefficient
Extremal point evaluation
Duality
Interpolation
Maximal space
Hermitian metric
Laplace-Beltrami operator
Holomorphic sectional curvature
Issue Date: Feb-2011
Publisher: Elsevier Ltd.
Source: Kaptanoğlu, H. T., and Tülü, S. (2011). Weighted bloch, lipschitz, zygmund, bers, and growth spaces of the ball: Bergman projections and characterizations. Taiwanese Journal of Mathematics, 15(1), 101-127.
Abstract: We 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 pointevaluations in each space. We establish maximality of these spaces among those that exhibit Mobius-type invariances and possess decent functionals. We find new Hermitiannon-Kahlerian metrics that characterize half of these spaces by Lipschitz-type inequalities.
URI: http://hdl.handle.net/11147/2771
ISSN: 1027-5487
1027-5487
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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