Uniqueness of H-harmonic Moebius invariant inner products on the ball

2024/08/18 by Petr Blaschke, Miroslav Engliš, Blaschke, Petr +1
Mathematics · #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2408.09611

Abstract

We~prove uniqueness of the Moebius invariant semi-inner product on hyperbolic-harmonic functions on the unit ball of the real n-space, i.e. on functions annihilated by the hyperbolic Laplacian on the ball.

Related

• A~Moebius invariant space of H-harmonic functions on the ball
• The M-harmonic Dirichlet space on the ball
• Khavinson conjecture for hyperbolic harmonic functions on the unit ball
• Schwarz lemma for harmonic functions in the unit ball
• Harmonic functions on the real hyperbolic ball II Hardy and Lipschitz spaces