Suita Conjecture from the One-dimensional Viewpoint

DOI10.1007/978-3-319-52471-9_9zbMath1426.30007OpenAlexW2750825103MaRDI QIDQ4562594

Zbigniew Błocki

Publication date: 17 December 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-52471-9_9

zbMATH Keywords

Bergman kernelSuita conjecture

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Kernel functions in one complex variable and applications (30C40)

Cites Work

• Unnamed Item
• Suita conjecture and the Ohsawa-Takegoshi extension theorem
• On the Ohsawa-Takegoshi \(L^2\) extension theorem and the Bochner-Kodaira identity with non-smooth twist factor
• On the extension of \(L^ 2\) holomorphic functions
• Variation of Bergman metrics on Riemann surfaces
• Optimal constant problem in the \(L^2\) extension theorem
• Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
• Estimates for the Bergman kernel and the multidimensional Suita conjecture
• A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
• Integral formulas and the Ohsawa-Takegoshi extension theorem
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Capacities and kernels on Riemann surfaces
• Addendum to “On the Bergman kernel of hyperconvex domains”, Nagoya Math. J. 129 (1993), 43–52
• A Lower Bound for the Bergman Kernel and the Bourgain-Milman Inequality
• Some estimates for the Bergman Kernel and Metric in Terms of Logarithmic Capacity

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