Characterizations of Bounded Singular Integral Operators on the Fock Space and Their Berezin Transforms

DOI10.4208/ata.oa-2021-0034OpenAlexW4366538567MaRDI QIDQ6121015

Xing-Tang Dong, Unnamed Author

Publication date: 26 February 2024

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

Full work available at URL: https://doi.org/10.4208/ata.oa-2021-0034

zbMATH Keywords

boundednesssingular integral operatorsFock spaceBerezin transform

Mathematics Subject Classification ID

Integral operators (47G10) Bergman spaces and Fock spaces (30H20)

Cites Work

• Unnamed Item
• Unnamed Item
• The Bargmann transform on \(L^p(\mathbb{R})\)
• A boundedness criterion for singular integral operators of convolution type on the Fock space
• Singular integral operators on the Fock space
• Analysis on Fock Spaces
• On a Hilbert space of analytic functions and an associated integral transform part I
• Towards a dictionary for the Bargmann transform
• The Fourier and Hilbert transforms Under the Bargmann transform
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
• On the Theory of Automorphic Functions of a Matrix Variable I-Geometrical Basis