Growth description of pth means of the Green potential in the unit ball

DOI10.1080/17476933.2016.1251423zbMath1379.31012arXiv1608.07160OpenAlexW2964077594MaRDI QIDQ5281687

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Publication date: 26 July 2017

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

Full work available at URL: https://arxiv.org/abs/1608.07160

zbMATH Keywords

unit ballinvariant LaplacianRiesz measure\(\mathcal M\)-subharmonic functiongreen potential

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (3)

Asymptotic behaviour of \(p\) th means of analytic and subharmonic functions in the unit disc and angular distribution of zeros ⋮ On asymptotic behavior of the \(p\)th means of the Green potential for \(0<p\leq 1\) ⋮ Growth of p-th means of the Poisson-Stieltjes integrals in polydisc

Cites Work

• On the rate of growth of the means \(M^ p\) of holomorphic and pluriharmonic functions on the ball
• Rate of growth of pth means of invariant potentials in the unit ball of \({\mathbb{C}}^ n\)
• Integral logarithmic means for regular functions
• Rate of growth of \(p\)th means of invariant potentials in the unit ball of \(\mathbb{C}{}^ n\). II
• Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
• The characterization of orders for regular functions
• Representation and Growth of Subharmonic Functions in Half-Spaces
• On the Growth of Blaschke Products

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