BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains

DOI10.1016/0022-1236(92)90054-MzbMath0793.47025MaRDI QIDQ1188464

Huiping Li

Publication date: 13 August 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Hankel operatorsBergmann spacebounded mean oscillationbounded pseudoconvex domainvanishing mean oscillation at the boundary

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) Pseudoconvex domains (32T99)

Related Items

Hankel operators on the Bergman spaces of strongly pseudoconvex domains ⋮ On the \(p\)-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains ⋮ Power bounded weighted composition operators and power bounded below composition operators ⋮ The commutator of the Bergman projection on strongly pseudoconvex domains with minimal smoothness ⋮ Skew Carleson measures in strongly pseudoconvex domains ⋮ Dominating sets in Bergman spaces on strongly pseudoconvex domains ⋮ Unnamed Item ⋮ Hankel operators on domains with bounded intrinsic geometry ⋮ A note on L2-boundary integrals of the Bergman kernel ⋮ Admissible limits of bloch functions on bounded strongly pseudoconvex domains ⋮ Schatten Class Hankel Operators on the Bergman Spaces of Strongly Pseudoconvex Domains ⋮ Toeplitz operators and Carleson measures in strongly pseudoconvex domains ⋮ On some new sharp embedding theorems in minimal and pseudoconvex domains ⋮ Mean oscillation and Hankel operators on Fock-type spaces ⋮ A remark on Carleson measures of domains in ℂⁿ ⋮ The essential norm of Hankel operator on the Bergman spaces of strongly pseudoconvex domains ⋮ Interpolating sequences for weighted Bergman spaces on strongly pseudoconvex bounded domains ⋮ BMO and Hankel operators on Bergman space of the Siegel upper half-space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The comparability of the Kobayashi approach region and the admissible approach region
• Comparison of the Bergman and the Kobayashi metric
• BMO in the Bergman metric on bounded symmetric domains
• Optimal Lipschitz and \(L^p\) regularity for the equation \(\overline\partial u=f\) on strongly pseudo-convex domains
• Boundary properties of holomorphic functions of several complex variables
• Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
• Comparison Between the Kobayashi and Caratheodory Distances on Strongly Pseudoconvex Bounded Domains in C n
• A Technique for Characterizing Carleson Measures on Bergman Spaces
• Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus
• Bloch functions in several complex variables. II.
• La métrique de Kobayashi et la représentation des domaines sur la boule
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS
• Boundary behavior of the Carathéodory, Kobayashi, and Bergman metrics on strongly pseudoconvex domains in {{𝐂}}ⁿ with smooth boundary

This page was built for publication: BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains