Hankel and Berezin type operators on weighted Besov spaces of holomorphic functions on polydisks

DOI10.3103/S1068362318020036zbMath1402.32009OpenAlexW2963266558MaRDI QIDQ1795440

Anahit V. Harutyunyan, George Marinescu

Publication date: 16 October 2018

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362318020036

zbMATH Keywords

polydisklittle Hankel operatorweighted Besov spaceBerezin-type operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Cites Work

• Weighted holomorphic Besov spaces on the polydisk
• Hankel forms and the Fock space
• Toeplitz operators on symplectic manifolds
• Duality and Hankel operators on the Bergman spaces of bounded symmetric domains
• Hankel and Toeplitz operators on the Fock space
• Bloch spaces of holomorphic functions in the polydisk
• Besov-type characterisations for the Bloch space
• Hankel Operators on Weighted Bergman Spaces
• Toeplitz Operators and Division Theorems in Anisotropic Spaces of Holomorphic Functions in the Polydisc
• Boundedness of Toeplitz operators and division theorems in spaces H^p (ω)
• Berezin–Toeplitz quantization for lower energy forms
• [Russian Text Ignored.]
• Regularly varying functions
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