Bounded Toeplitz products on Bergman spaces of the unit ball

DOI10.1016/j.jmaa.2006.01.009zbMath1111.32003OpenAlexW2053768970MaRDI QIDQ854032

Karel Stroethoff, DeChao Zheng

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.009

zbMATH Keywords

Toeplitz operatorBergman spacesBerezin transformunit ball

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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On the weighted estimate of the Bergman projection ⋮ BOUNDED TOEPLITZ AND HANKEL PRODUCTS ON THE WEIGHTED BERGMAN SPACES OF THE UNIT BALL ⋮ Products of Toeplitz and Hankel operators on Fock spaces ⋮ Products of Toeplitz and Hankel operators on the Bergman spaces of generalized Hartogs triangles ⋮ Sarason's Ha-Plitz product problem ⋮ Products of Toeplitz and Hankel operators on the Bergman space in the polydisk ⋮ Commuting dual Toeplitz operators on weighted Bergman spaces of the unit ball ⋮ Toeplitz operators with BMO symbols on the weighted Bergman space of the unit ball ⋮ Bounded Toeplitz products on the weighted Bergman spaces of the unit ball ⋮ Bounded and compact operators on the Bergman space \(L_a^1\) in the unit ball of \(\mathbb{C}^n\) ⋮ Sarason's Toeplitz product problem on the Fock-Sobolev space ⋮ Sarason's conjecture of Toeplitz operators on Fock-Sobolev type spaces ⋮ Products of Toeplitz operators on the Fock space ⋮ Weighted inner products of derivatives ofL²-holomorphic functions on the unit ball ⋮ Products of Toeplitz operators on a vector valued Bergman space ⋮ Products of Hankel operators on the Fock space ⋮ Toeplitz and Hankel products on Bergman spaces of the unit ball ⋮ Products of Toeplitz and Hankel operators on Fock-Sobolev spaces

Cites Work

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• Linear and complex analysis problem book 3. Part 1
• Bounded Toeplitz products on the Bergman space of the polydisk.
• Some problems in operator theory on bounded symmetric domains
• The distribution function inequality and products of Toeplitz operators and Hankel operators
• Products of Hankel and Toeplitz operators on the Bergman space
• Spaces of Holomorphic Functions in the Unit Ball
• Analytic models for commuting operator tuples on bounded symmetric domains