Zero sums of dual Toeplitz products on the orthogonal complements of the polyanalytic Fock space

DOI10.1016/j.jmaa.2023.127914MaRDI QIDQ6187263

Hong Rae Cho, Young Joo Lee, Hyungwoon Koo

Publication date: 15 January 2024

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

zbMATH Keywords

dual Toeplitz operatorpolyanalytic Fock space

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Spaces and algebras of analytic functions of one complex variable (30Hxx) Holomorphic functions of several complex variables (32Axx)

Cites Work

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• Dual Toeplitz operators on the sphere
• Commuting dual Toeplitz operators on weighted Bergman spaces of the unit ball
• Berezin--Toeplitz quantization and composition formulas
• Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
• Fock-Sobolev spaces and their Carleson measures
• Commuting dual Toeplitz operators with pluriharmonic symbols
• The polyanalytic reproducing kernels
• Sums of dual Toeplitz products on the orthogonal complements of the Hardy-Sobolev spaces
• Sums of dual Toeplitz products on the orthogonal complements of the Fock spaces
• Algebraic and spectral properties of dual Toeplitz operators
• Analysis on Fock Spaces
• An explicit formula for the inverse of a factorial Hankel matrix
• Finite sums of dual Toeplitz products
• Sums of polyanalytic dual Toeplitz products

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