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Holomorphic and \({\mathcal M}\)-harmonic functions with finite Dirichlet integral on the unit ball of \(\mathbb{C}^n\)

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Publication:5954266
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zbMath0987.31007MaRDI QIDQ5954266

Manfred Stoll

Publication date: 17 February 2002

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Hardy spaceembedding theoremLaplace-Beltrami operatorDirichlet spacefractional derivative\(\mathcal M\)-harmonic functionBergman metricholomorphic function of several complex variablesRiesz measure


Mathematics Subject Classification ID

Dirichlet forms (31C25) (H^p)-spaces (42B30) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)


Related Items (3)

On \(\mathbb Q\)-derived polynomials ⋮ Decomposition of the Laplacian and pluriharmonic Bloch functions ⋮ Harmonic majorants for eigenfunctions of the Laplacian with finite Dirichlet integrals







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