Bounded and compact Toeplitz operators on the weighted Bergman space over the bidisk

DOI10.1007/s10114-013-3067-2zbMath1303.47037OpenAlexW2401210516MaRDI QIDQ2440500

Si Bo Diao, Tao Yu

Publication date: 18 March 2014

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

Full work available at URL: https://doi.org/10.1007/s10114-013-3067-2

zbMATH Keywords

boundednessToeplitz operatorcompactnessweighted Bergman spacesCarleson measureBloch type spacesgrowth-type spaces

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36)

Cites Work

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• Bounded and compact operators on the Bergman space \(L^{1}_{a}\) in the unit disk of \(\mathbb{C}\)
• Bounded and compact operators on the Bergman space \(L_a^1\) in the unit ball of \(\mathbb{C}^n\)
• Multipliers of BMO in the Bergman metric with applications to Toeplitz operators
• Toeplitz operators on Bloch-type spaces in the unit ball of \(\mathbf C^n\)
• Formules explicites pour les solutions minimales de l'équation \(\overline\partial u=f\) dans la boule et dans le polydisque de \(\mathbb C^n\)
• Bloch spaces of holomorphic functions in the polydisk
• Bloch Functions in Several Complex Variables, I
• Compact operators on the weighted Bergman space A¹(ψ)
• Toeplitz operators on Bloch-type spaces
• Toeplitz operators on the polydisk
• Compact operators via the Berezin transform

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