Factorization of Hardy spaces and Hankel operators on convex domains in \(\mathbb C^ n\).

DOI10.1007/BF02922011zbMath1040.47015OpenAlexW2060388850MaRDI QIDQ1608497

Frédéric Symesak, Aline Bonami, Marco M. Peloso

Publication date: 8 August 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02922011

zbMATH Keywords

Hardy spaceBergman spaceHankel operatorconvex domainfinite type domain

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)

Related Items

Analysis on Besov spaces. II: Embedding and duality theorems ⋮ Weighted composition operators between weighted Bergman spaces and Hardy spaces on the unit ball of \(\mathbb C^{n}\) ⋮ Atomic decomposition theorem for Hardy spaces on products of Siegel upper half spaces and bi-parameter Hardy spaces ⋮ Big Hankel operators on Hardy spaces of strongly pseudoconvex domains ⋮ Area integral, Littlewood-Paley \(g\)-function and BMOA on convex domains of finite type ⋮ Weighted Lipschitz estimates for \(\bar {\partial }\) on convex domains of finite type ⋮ Paraproducts and Hankel operators of Schatten class via \(p\)-John--Nirenberg theorem ⋮ Boundedness of Hankel operators on \(\mathcal H^1(\mathbb B^n)\) ⋮ Characterizations for Besov spaces and applications. I.

Cites Work

• Hankel operators on complex ellipsoids
• Trace ideal criteria for Hankel operators, and applications to Besov spaces
• Estimates for derivatives of holomorphic functions in pseudoconvex domains
• On the boundedness and compactness of operators of Hankel type
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• Hölder estimates on convex domains of finite type
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• On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications
• Powers of the Szegö kernel and Hankel operators on Hardy spaces
• Decomposition theorems for Hardy spaces on convex domains of finite type
• Duality theorems for Hardy and Bergman spaces on convex domains of finite type in \({\mathbb{C}}^ n\)
• Atomic decomposition in Bergman spaces
• Hankel Operators on Pseudoconvex Domains of Finite Type in ℂ²
• A DESCRIPTION OF HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ FOR $ p>0$, AN INVESTIGATION OF THE RATE OF RATIONAL APPROXIMATION, AND OTHER APPLICATIONS
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
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