Derivatives of harmonic Bergman and Bloch functions on the ball

DOI10.1006/jmaa.2000.7438zbMath0984.31004OpenAlexW2082921311MaRDI QIDQ5944910

Hyungwoon Koo, HeungSu Yi, Boo Rim Choe

Publication date: 26 April 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/84c4f66b19d4d3cf503debcb324e86de3976902a

zbMATH Keywords

Gleason's problemharmonic Bergman kernelharmonic Bergman spaceharmonic Bloch space

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Bergman spaces of functions in several complex variables (32A36) Banach spaces of continuous, differentiable or analytic functions (46E15) Bloch functions, normal functions of several complex variables (32A18)

Related Items (15)

The harmonic Bloch and Besov spaces on the real unit ball by an oscillation ⋮ The mixed norm spaces of polyharmonic functions ⋮ The Gleason's problem for some polyharmonic and hyperbolic harmonic function spaces ⋮ Optimal norm estimate of operators related to the harmonic Bergman projection on the ball ⋮ Finite rank products of Toeplitz operators on the harmonic Bergman space ⋮ On Ren-Kähler's paper ``Hardy-Littlewood inequalities and \(Q_p\)-spaces [Z. Anal. Anwendungen 24, 375--388 (2005; Zbl. 1096.30044)] ⋮ Double integral characterizations of harmonic Bergman spaces ⋮ Weighted inner products of derivatives ofL²-holomorphic functions on the unit ball ⋮ Some characterizations of harmonic Bloch and Besov spaces ⋮ Estimates for the polyharmonic Bergman kernel and their applications ⋮ Projections for harmonic Bergman spaces and applications ⋮ A sharp version of the Forelli-Rudin type estimates on the unit real ball ⋮ Weighted harmonic Bloch spaces on the ball ⋮ Characterizations of the harmonic Bergman space on the ball ⋮ Harmonic Besov spaces with small exponents

Cites Work

• Gleason's problem for harmonic Bergman and Bloch functions on half-spaces
• Bloch Functions in Several Complex Variables, I
• The Bergman Spaces, The Bloch Space, and Gleason's Problem
• Harmonic Bergman Functions on Half-Spaces
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