Hardy-Stein type characterization of harmonic Bergman spaces

DOI10.1007/s11118-009-9140-xzbMath1183.31002OpenAlexW2046120864MaRDI QIDQ845806

Miroslav Pavlović

Publication date: 29 January 2010

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-009-9140-x

zbMATH Keywords

harmonic Bergman spacesHardy-Stein identitiesharmonic Hardy spaces

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (4)

Harmonic mappings in Bergman spaces ⋮ Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions ⋮ Polyharmonic Bergman spaces and Bargmann type transforms ⋮ Double integral characterizations of harmonic Bergman spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterization of Bloch space and Besov space
• Lipschitz conditions on the modulus of a harmonic function
• Classes of quasi-nearly subharmonic functions
• Equivalent norms on Dirichlet spaces of polyharmonic functions on the ball in \(\mathbb{R}^N\)
• Characterizations of spaces of holomorphic functions in the ball
• Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions
• Quantities equivalent to the norm of a weighted Bergman space
• \(H^p\) spaces of several variables
• Criteria for Functions to be of Hardy Class H p
• A Characterization of Hardy Spaces on the Unit Ball of C ⁿ
• Spaces of Holomorphic Functions in the Unit Ball
• On a Theorem of M. Riesz
• On a Littlewood-Paley type inequality
• Notions of convexity

This page was built for publication: Hardy-Stein type characterization of harmonic Bergman spaces