Characterizations of spaces of holomorphic functions in the ball

DOI10.2996/kmj/1138036996zbMath0571.32005OpenAlexW2010764141MaRDI QIDQ1061904

Jacob Burbea, Frank jun. Beatrous

Publication date: 1985

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036996

zbMATH Keywords

Hardy spacesweighted Bergman spacescounting functionsLusin characteristics

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (8)

Hardy-Stein type characterization of harmonic Bergman spaces ⋮ Exponential inequality for holomorphic functions with finite Dirichlet integrals ⋮ Characterizations of admissible weighted Bergman spaces on the unit ball ⋮ Unnamed Item ⋮ Carleson measure characterization of Bloch functions ⋮ Hardy-Stein identities and Littlewood-Paley inequalities in a polydisc ⋮ A characterization of weighted Bergman-Orlicz spaces on the unit ball in Cⁿ ⋮ Mean oscillation, weighted Bergman spaces, and Besov spaces on the Heisenberg group and atomic decomposition

Cites Work

• Lusin's theorem on areas of conformal maps
• Criteria for Functions to be of Hardy Class H p
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