One dimensional estimates for the Bergman kernel and logarithmic capacity

DOI10.1090/proc/13916zbMath1398.30038arXiv1703.09297OpenAlexW2753033337MaRDI QIDQ4609832

Włodzimierz Zwonek, Zbigniew Błocki

Publication date: 26 March 2018

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

Full work available at URL: https://arxiv.org/abs/1703.09297

zbMATH Keywords

Bergman kernellogarithmic capacitySuita conjecture

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Bergman spaces of functions in several complex variables (32A36) Bergman spaces and Fock spaces (30H20)

Related Items

On Demailly's \(L^2\) extension theorem from non-reduced subvarieties, Capacities, Green function, and Bergman functions, Optimal \(L^2\) extensions of openness type and related topics, Generalizations of the higher dimensional Suita conjecture and its relation with a problem of Wiegerinck

Cites Work

• Unnamed Item
• Unnamed Item
• Suita conjecture and the Ohsawa-Takegoshi extension theorem
• A proof of the Ohsawa-Takegoshi theorem with sharp estimates
• Variation of Bergman metrics on Riemann surfaces
• \(L^ 2\)-cohomology and index theorem for the Bergman metric
• Domains with finite dimensional Bergman space
• Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
• Estimates for the Bergman kernel and the multidimensional Suita conjecture
• On a conjecture by Blocki and Zwonek
• Capacities and kernels on Riemann surfaces
• A Lower Bound for the Bergman Kernel and the Bourgain-Milman Inequality
• A Counterexample to a Conjecture by Błocki–Zwonek