Sums of polyanalytic dual Toeplitz products

DOI10.1007/s11785-023-01424-xOpenAlexW4387168421MaRDI QIDQ6061897

Hyungwoon Koo, Young Joo Lee, Hong Rae Cho

Publication date: 31 October 2023

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

Full work available at URL: https://doi.org/10.1007/s11785-023-01424-x

zbMATH Keywords

compactdual Toeplitz operatorsum of productspolyanalytic Bergman space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces and Fock spaces (30H20)

Related Items

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

Cites Work

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• Dual Toeplitz operators on the sphere
• Commuting dual Toeplitz operators on weighted Bergman spaces of the unit ball
• Sums of Toeplitz products with harmonic symbols
• Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
• Pluriharmonic symbols of commuting Toeplitz operators
• Commuting dual Toeplitz operators with pluriharmonic symbols
• The polyanalytic reproducing kernels
• Sums of dual Toeplitz products on the orthogonal complements of the Fock spaces
• Algebraic and spectral properties of dual Toeplitz operators
• Finite sums of dual Toeplitz products
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators