A characterization of weighted Bergman-Orlicz spaces on the unit ball in Cn

DOI10.1017/S1446788700003074zbMath1030.32005MaRDI QIDQ4709351

Yasuo Matsugu, Jun Miyazawa

Publication date: 12 February 2004

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

unit ballHardy-Orlicz spacesWeighted Bergman-Orlicz spaces

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Bergman spaces of functions in several complex variables (32A36) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Cites Work

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• Characterizations of spaces of holomorphic functions in the ball
• A Characterization of Hardy-Orlicz Spaces on Planar Domains
• Criteria for Functions to be of Hardy Class H p
• A Characterization of Hardy Spaces on the Unit Ball of C ⁿ
• A characterization of Hardy-Orlicz spaces on $\mathsf{C}^n$.

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