Polyharmonic potential theory on the Poincaré disk

DOI10.1016/j.jfa.2024.110362arXiv2312.05806MaRDI QIDQ6119810

Wolfgang Woess, Maura Salvatori, Massimo A. Picardello

Publication date: 25 March 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2312.05806

zbMATH Keywords

hyperbolic Laplacianhyperbolic disk\(\lambda\)-polyharmonic functions

Mathematics Subject Classification ID

Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Other special methods applied to PDEs (35A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moments of Riesz measures on Poincaré disk and homogeneous tree -- A comparative study
• Hyperfunctions and harmonic analysis on symmetric spaces
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• Eigenspaces of the Laplacian ; integral representations and irreducibility
• Biharmonic and polyharmonic principal functions
• On the existence of angular boundary values for polyharmonic functions in the unit ball
• Related aspects of positivity in Riemannian geometry
• Boundary representations of \(\lambda \)-harmonic and polyharmonic functions on trees
• Die Randverteilungen analytischer Funktionen
• Boundary behaviour of \(\lambda \)-polyharmonic functions on regular trees
• Radial growth of functions in the Korenblum space
• Une remarque sur la convergence des fonctions propres du laplacien a valeur propre critique
• Polyharmonic Radial Functions on a Riemannian Manifold
• Polyharmonic functions on trees
• Boundary Behavior of Poisson Integrals on Symmetric Spaces
• Fatou Theorems for Eigenfunctions of the Invariant Differential Operators on Symmetric Spaces