A Hardy-Littlewood type theorem for harmonic Bergman-Orlicz spaces and applications

DOI10.3103/S1068362323050096MaRDI QIDQ6193799

Qingtian Shi, Xi Fu

Publication date: 19 March 2024

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

harmonic functionBergman-Orlicz spaceLipschitz characterization

Mathematics Subject Classification ID

Dirichlet forms (31C25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Bloch functions, normal functions of several complex variables (32A18)

Cites Work

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• On some product-type operators from Hardy-Orlicz and Bergman-Orlicz spaces to weighted-type spaces
• Double integral characterizations of harmonic Bergman spaces
• Optimal norm estimate of operators related to the harmonic Bergman projection 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 Besov spaces on the ball
• LIPSCHITZ TYPE CHARACTERIZATIONS OF HARMONIC BERGMAN SPACES
• WEIGHTED LIPSCHITZ CONTINUITY AND HARMONIC BLOCH AND BESOV SPACES IN THE REAL UNIT BALL
• Lipschitz Type Characterizations for Bergman Spaces
• Spaces of Holomorphic Functions in the Unit Ball
• Harmonic Besov spaces with small exponents
• Positive Toeplitz Operators of Schatten–Herz Type

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