Lipschitz type characterizations for Bergman-Orlicz spaces of eigenfunctions on hyperbolic space

DOI10.1080/17476933.2022.2056886OpenAlexW4220794672WikidataQ115549533 ScholiaQ115549533MaRDI QIDQ6075402

Qingtian Shi, Xi Fu

Publication date: 20 September 2023

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

Full work available at URL: https://doi.org/10.1080/17476933.2022.2056886

zbMATH Keywords

eigenfunctiongrowth functionBergman-Orlicz spacesymmetric lifting operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On some product-type operators from Hardy-Orlicz and Bergman-Orlicz spaces to weighted-type spaces
• Double integral characterizations of harmonic Bergman spaces
• Characterizations of the harmonic Bergman space on the ball
• Derivatives characterization of Bergman-Orlicz spaces, boundedness and compactness of Cesàro-type operator
• Lipschitz type characterizations for Bergman-Orlicz spaces and their applications
• Lipschitz characterization for exponentially weighted Bergman spaces of the unit ball
• Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
• LIPSCHITZ TYPE CHARACTERIZATIONS OF HARMONIC BERGMAN SPACES
• Weighted Bergman spaces induced by rapidly incresing weights
• WEIGHTED LIPSCHITZ CONTINUITY AND HARMONIC BLOCH AND BESOV SPACES IN THE REAL UNIT BALL
• Lipschitz Type Characterizations for Bergman Spaces
• The reproducing kernel of $\mathcal H^2$ and radial eigenfunctions of the hyperbolic Laplacian
• Spaces of Holomorphic Functions in the Unit Ball
• Some characterizations for exponentially weighted Bergman spaces
• Weighted Dirichlet spaces of harmonic functions on the real hyperbolic ball