Characterizations for Besov spaces and applications. I.

DOI10.1016/j.jmaa.2005.02.010zbMath1085.32003OpenAlexW2070904671MaRDI QIDQ2568193

Song-Ying Li, Wallace Luo

Publication date: 10 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.02.010

zbMATH Keywords

Hankel operatorBergman projectionfinite typeForelli-Rudin inequality

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

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Cites Work

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• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• On the boundedness and compactness of operators of Hankel type
• Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
• On isometric isomorphisms of the Bloch space on the unit ball of \({\mathbb{C}}^ n\)
• Estimates on the Bergman kernels of convex domains
• Analysis of some function spaces associated to Hankel operators
• On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications
• Factorization of Hardy spaces and Hankel operators on convex domains in \(\mathbb C^ n\).
• Möbius invariant spaces on the unit ball
• Trace ideal criteria for Toeplitz operators
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Duality theorems for Hardy and Bergman spaces on convex domains of finite type in \({\mathbb{C}}^ n\)
• Trace ideal criteria for operators of Hankel type
• Bloch Functions in Several Complex Variables, I
• Hankel Operators on the Bergman Space of Bounded Symmetric Domains
• Boundary Regularity for Harmonic Hardy-Sobolev Spaces
• Hankel Operators on Weighted Bergman Spaces
• On the Forelli-Rudin construction and weighted Bergman projections

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