Harmonic Bergman spaces on the real hyperbolic ball: atomic decomposition, interpolation and inclusion relations

DOI10.1007/s11785-024-01484-7arXiv2303.12137OpenAlexW4392038158MaRDI QIDQ6119839

Adem Ersin Üreyen

Publication date: 25 March 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.12137

zbMATH Keywords

Bergman spaceatomic decompositionharmonic functionsreal hyperbolic ball

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Cites Work

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• Atomic decomposition of harmonic Bergman functions
• Interpolation by functions in Bergman spaces
• Invariant mean-value property and \(\mathcal M\)-harmonicity in the unit ball of \(\mathbb{R}^n\)
• \(\mathcal{H}\)-harmonic Bergman projection on the real hyperbolic ball
• Representation theorem for harmonic Bergman and Bloch functions
• Pseudohyperbolic metric and uniformly discrete sequences in the real unit ball
• Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
• Positive Schatten class Toeplitz operators on the ball
• On Homogeneous Polynomials on a Complex Ball
• Suites D'Interpolation Pour les Classes de Bergman de la Boule et du Polydisque de Cⁿ
• Representations and interpolations of harmonic Bergman functions on half-spaces
• Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
• Interpolating sequences for weighted Bergman spaces of the ball

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