Dominating sets in Bergman spaces on strongly pseudoconvex domains

DOI10.1007/s00365-023-09639-zarXiv2107.04400OpenAlexW3177545443MaRDI QIDQ6149649

A. Walton Green, Nathan A. Wagner

Publication date: 5 March 2024

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04400

zbMATH Keywords

Bergman spaceKobayashi metricstrongly pseudoconvexrelative densityRemez inequality

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36)

Cites Work

• Inequalities on Bergman spaces
• Closed-ranged restriction operators on weighted Bergman spaces
• BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains
• Local inequalities for plurisubharmonic functions
• Hankel operators on weighted Bergman spaces on strongly pseudoconvex domains
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• A local weighted Axler-Zheng theorem in \(\mathbb{C}\)n
• Dominating sets in Bergman spaces and sampling constants
• Carleson and reverse Carleson measures on homogeneous Siegel domains
• Carleson measure estimates for the Green function
• Essential commutants on strongly pseudo-convex domains
• Some results related to the Logvinenko-Sereda theorem
• Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains
• Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains
• Forward and Reverse Carleson Inequalities for Functions in Bergman Spaces and Their Derivatives
• A survey on reverse Carleson measures
• Lower bounds for quasianalytic functions, I. How to control smooth functions
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