BMO on the Bergman spaces of the classical domains

DOI10.1090/S0273-0979-1987-15539-XzbMath0621.32014MaRDI QIDQ3758215

Lewis A. Coburn, K. H. Zhu, Charles A. Berger

Publication date: 1987

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Toeplitz operatorbounded symmetric domainBergman metricvanishing mean oscillationbounded mean oscillation

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Boundary behavior of holomorphic functions of several complex variables (32A40)

Related Items

The Berezin transform and its applications, Operators on harmonic Bergman spaces, Duality and Hankel operators on the Bergman spaces of bounded symmetric domains, Bloch functions and Bekolle-Bonami weights, Hankel operators induced by radial Bekollé-Bonami weights on Bergman spaces, Unnamed Item, Clifford valued BMO in Bergman metric and Hankel operators, Multipliers of BMO in the Bergman metric with applications to Toeplitz operators, BMO in the Bergman metric on bounded symmetric domains, \(\mathcal M\)-harmonic Besov \(p\)-spaces and Hankel operators in the Bergman space on the ball in \(\mathbb{C}^ n\), Bounded operators on the weighted spaces of holomorphic functions on the polydiscs, Mean oscillation and Hankel operators on Fock-type spaces, On Hankel operators between Fock spaces, BMO and Hankel operators on Bergman space of the Siegel upper half-space

Cites Work

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• Function spaces and reproducing kernels on bounded symmetric domains
• Bloch Functions in Several Complex Variables, I
• Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus