Optimal estimates for hyperbolic Poisson integrals of functions in \(L^p\) with \(p > 1\) and radial eigenfunctions of the hyperbolic Laplacian

DOI10.1016/j.indag.2020.09.007zbMath1452.35007OpenAlexW3089297455WikidataQ115571957 ScholiaQ115571957MaRDI QIDQ2210536

Jiaolong Chen, David Kalaj

Publication date: 7 November 2020

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2020.09.007

zbMATH Keywords

Hardy spacegrowth estimateshyperbolic harmonic mappings

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

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• Solution to the Khavinson problem near the boundary of the unit ball
• Schwarz lemma for harmonic mappings in the unit ball
• A Schwarz lemma for harmonic and hyperbolic-harmonic functions in higher dimensions
• Eigenfunctions of the Laplacian on a real hyperbolic space
• On Lipschitz continuity of solutions of hyperbolic Poisson's equation
• Optimal estimates for harmonic functions in the unit ball
• Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
• The reproducing kernel of $\mathcal H^2$ and radial eigenfunctions of the hyperbolic Laplacian
• Weighted Dirichlet spaces of harmonic functions on the real hyperbolic ball

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