Singular integral operators on the Fock space

DOI10.1007/S00020-015-2222-9zbMath1332.30083OpenAlexW2066209570MaRDI QIDQ2342938

K. H. Zhu

Publication date: 30 April 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-015-2222-9

zbMATH Keywords

Hilbert transformsingular integralsFock space

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bergman spaces and Fock spaces (30H20)

Related Items (11)

Boundedness criterion for integral operators on the fractional Fock-Sobolev spaces ⋮ Integral operators on Fock-Sobolev spaces via multipliers on Gauss-Sobolev spaces ⋮ \(\mathcal{L}\)-invariant and radial singular integral operators on the Fock space ⋮ Characterizations of Bounded Singular Integral Operators on the Fock Space and Their Berezin Transforms ⋮ Canonical integral operators on the Fock space ⋮ Integral representation of angular operators on the Bergman space over the upper half-plane ⋮ The Fourier and Hilbert transforms Under the Bargmann transform ⋮ A \(C^*\)-algebra of entire functions ⋮ The Bargmann transform on \(L^p(\mathbb{R})\) ⋮ A boundedness criterion for singular integral operators of convolution type on the Fock space ⋮ Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order

Cites Work

• Foundations of time-frequency analysis
• Fock-Sobolev spaces and their Carleson measures
• Analysis on Fock Spaces
• Harmonic Analysis in Phase Space. (AM-122)

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