Bergman-type projections in generalized Fock spaces

DOI10.1016/j.jmaa.2011.12.045zbMath1252.47023arXiv1105.5600OpenAlexW1989337159MaRDI QIDQ764952

Hélène Bommier-Hato, Miroslav Engliš, El Hassan Youssfi

Publication date: 16 March 2012

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

Full work available at URL: https://arxiv.org/abs/1105.5600

zbMATH Keywords

Mittag-Leffler functionBergman projectionreproducing kernelhigher order Fock space

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) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items

The radial derivative operator on generalized Fock spaces ⋮ Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold ⋮ Equivalent norms on generalized Fock spaces and the extended Cesàro operators ⋮ Sub-Hilbert relation for Fock-Sobolev type spaces ⋮ A note on the differential operator on generalized Fock spaces ⋮ Small Hankel operators on generalized weighted Fock spaces ⋮ The \(L^p-L^q\) boundedness and compactness of Fock projections ⋮ REGULARITY OF THE WEIGHTED BERGMAN PROJECTION ON THE FOCK–BARGMANN–HARTOGS DOMAIN ⋮ Hankel bilinear forms on generalized Fock–Sobolev spaces on C^n ⋮ Equivalent Bergman spaces with inequivalent weights ⋮ Boundedness of the Bergman projection on generalized Fock-Sobolev spaces on \(\mathbb{C}^n\) ⋮ Boundedness of the Bergman projection on \(L^p\)-spaces with exponential weights ⋮ De Branges spaces and Fock spaces ⋮ The automorphism group of an unbounded domain related to Wermer type sets ⋮ Muckenhoupt type weights and Berezin formulas for Bergman spaces ⋮ Essential norm of the differential operator ⋮ Boundary behavior of the Bergman kernel for generalized Fock-Bargmann-Hartogs domains ⋮ Algebraic properties of Toeplitz operators on generalized Fock spaces on \(\mathbb{C}^d\)

Cites Work

• Hankel forms and the Fock space
• Lipschitz estimates for the Berezin transform
• Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
• Exponential asymptotics of the Mittag-Leffler function
• Hankel operators on weighted Fock spaces
• Integral operators induced by the Fock kernel
• On spaces of potentials connected with \(L^ p\) classes
• Harmonic analysis of the de Rham complex on the sphere.
• Exponential asymptotics of the Mittag–Leffler function
• Computation of the generalized Mittag-Leffler function and its inverse in the complex plane
• On Integral Transformations With Positive Kernel
• Theory of Reproducing Kernels
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