A Characterization of Hardy Spaces on the Unit Ball of C n

DOI10.1112/JLMS/S2-48.1.126zbMath0808.32006OpenAlexW1970463537MaRDI QIDQ4289362

Manfred Stoll

Publication date: 20 March 1995

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-48.1.126

zbMATH Keywords

Hardy spacesLaplace-Beltrami operatorNevanlinna classunit ballBergman metric\({\mathcal M}\)- harmonic functions

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Value distribution theory in higher dimensions (32H30) Holomorphic functions of several complex variables (32A99)

Related Items (11)

Hyperbolic mean growth of bounded holomorphic functions in the ball ⋮ Hardy-Stein type characterization of harmonic Bergman spaces ⋮ Some new characterizations of Dirichlet type spaces on the unit ball of \(\mathbb C^{n}\) ⋮ Characterizations of admissible weighted Bergman spaces on the unit ball ⋮ Integration operators between Hardy spaces on the unit ball of \(\mathbb{C}^n\) ⋮ On inner functions with \(H^p\) and \(B^p\) derivatives in the unit ball of \(\mathbb C^n\) ⋮ Hardy-Stein identities and Littlewood-Paley inequalities in a polydisc ⋮ Dirichlet-type energy integrals of hyperbolic harmonic mappings ⋮ Characterizations of the hyperbolic Nevanlinna class in the ball ⋮ A characterization of weighted Bergman-Orlicz spaces on the unit ball in Cⁿ ⋮ 𝒩(p, q, s)-type spaces in the unit ball of 𝑪ⁿ(I): basic properties and Hadamard gaps

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