On products of some Toeplitz operators on polyanalytic Fock spaces

DOI10.21136/CMJ.2019.0334-18MaRDI QIDQ3297025

Irène Casseli

Publication date: 2 July 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00911

zbMATH Keywords

Toeplitz operatorFock spacepolyanalytic functionSarason's problem

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Bergman spaces and Fock spaces (30H20)

Cites Work

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• The polyanalytic Ginibre ensembles
• On the structure of Gabor and super Gabor spaces
• Linear and complex analysis problem book 3. Part 1
• Sarason's Toeplitz product problem for a class of Fock spaces
• Espaces de Bargmann généralisés et formules explicites pour leurs noyaux reproduisants
• Sarason Conjecture on the Bergman Space
• Products of Toeplitz operators on the Fock space