Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains

DOI10.1002/mana.201500021zbMath1360.32007OpenAlexW2303357302MaRDI QIDQ2816987

Zhangjian Hu, Xiaofen Lv, K. H. Zhu

Publication date: 26 August 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500021

zbMATH Keywords

balayageBergman spacesCarleson measuresKobayashi metricBMO functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Bergman spaces of functions in several complex variables (32A36) Strongly pseudoconvex domains (32T15)

Related Items

Power bounded weighted composition operators and power bounded below composition operators ⋮ Approximation in weighted Bergman spaces and Hankel operators on strongly pseudoconvex domains ⋮ Integrability of mean oscillation with applications to Hankel operators ⋮ Differences of composition operators on weighted Bergman spaces ⋮ Skew Carleson measures in strongly pseudoconvex domains ⋮ Dominating sets in Bergman spaces on strongly pseudoconvex domains ⋮ Carleson measures on convex domains with smooth boundary of finite type ⋮ Carleson measures and Berezin-type operators on Fock spaces ⋮ Carleson and reverse Carleson measures on homogeneous Siegel domains ⋮ Carleson measures on the generalized Hartogs triangles ⋮ Interpolating sequences for weighted Bergman spaces on strongly pseudoconvex bounded domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Toeplitz operators from one Fock space to another
• Toeplitz operators and Carleson measures in strongly pseudoconvex domains
• Green's theorem and balayage
• Embedding theorems for spaces of analytic functions via Khinchine's inequality
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Carleson measures for Besov spaces on the ball with applications
• Balayage for the Bergman space
• Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains
• The pseudohyperbolic metric and Bergman spaces in the ball
• Carleson measure and balayage
• A Technique for Characterizing Carleson Measures on Bergman Spaces
• A Carleson Measure Theorem for Bergman Spaces
• Balayage of Carleson Measures and Hankel Operators on Generalized Hardy Spaces
• $BMO$ on Strongly Pseudoconvex Domains: Hankel Operators, Duality and $\overline{\partial}$-Estimates
• Spaces of Holomorphic Functions in the Unit Ball