Characterizations of the hyperbolic Nevanlinna class in the ball

DOI10.1080/17476930802669702zbMath1162.32002OpenAlexW1997824710MaRDI QIDQ3617409

Evgueni Doubtsov

Publication date: 23 March 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930802669702

zbMATH Keywords

Laplace-Beltrami operatorholomorphic functioninvariant gradienthyperbolic Nevanlinna class

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Holomorphic functions of several complex variables (32A10)

Related Items (3)

Integral reverse estimates for logarithmic Bloch spaces in the ball ⋮ Composition operators mapping logarithmic Bloch functions into Hardy space ⋮ Hyperbolic Hardy Classes and Logarithmic Bloch Spaces

Cites Work

• Inequalities for the gradient of eigenfunctions of the invariant Laplacian in the unit ball
• A Characterization of Hardy Spaces on the Unit Ball of C ⁿ
• Hyperbolic mean growth of bounded holomorphic functions in the ball

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