Toeplitz operators on the polyharmonic Bergman space

DOI10.1007/S43034-022-00169-6OpenAlexW4210656252MaRDI QIDQ2120574

Yixin Yang, Bo Zhang, Yu Feng Lu

Publication date: 1 April 2022

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-022-00169-6

zbMATH Keywords

Toeplitz operatorcommutatorfinite rankpolyharmonic Bergman space

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)

Cites Work

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• Finite rank commutators and semicommutators of Toeplitz operators with harmonic symbols
• Planar Beurling transform and Bergman type spaces
• Ranks of complex skew symmetric operators and applications to Toeplitz operators
• Green functions and eigenfunction expansions for the square of the Laplace-Beltrami operator on plane domains
• Toeplitz operators on Bergman spaces of polyanalytic functions
• On the structure of polyharmonic Bergman-type spaces over the unit disk

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