Properties of Toeplitz operators on the Dirichlet space over the ball

DOI10.1007/s10114-019-8437-yOpenAlexW2974731616MaRDI QIDQ2336107

Liu Liu, Yin Yin Hu, Yu Feng Lu

Publication date: 18 November 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-8437-y

zbMATH Keywords

Toeplitz operatorDirichlet spacepluriharmonic symbols

Mathematics Subject Classification ID

Dirichlet forms (31C25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutators, derivations, elementary operators, etc. (47B47) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Cites Work

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• Toeplitz products with pluriharmonic symbols on the Hardy space over the ball
• Sums of products of Toeplitz and Hankel operators on the Dirichlet space
• Commuting Toeplitz operators with harmonic symbols
• Fredholm properties of Toeplitz operators on Dirichlet spaces
• Commuting Toeplitz operators with pluriharmonic symbols
• Toeplitz operators on the Dirichlet space
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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