A weighted version of Saitoh's conjecture

DOI10.4171/PRIMS/60-3-4zbMATH Open1548.30154MaRDI QIDQ6619101

Zheng Yuan, Qi'an Guan

Publication date: 15 October 2024

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

Bergman kernelSzegő kernelconjugate Hardy \(H^2\) kernelSaitoh's conjecture

Mathematics Subject Classification ID

Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Cites Work

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• Suita conjecture and the Ohsawa-Takegoshi extension theorem
• Optimal constant problem in the \(L^2\) extension theorem
• On weights which admit the reproducing kernel of Bergman type
• A proof of Saitoh's conjecture for conjugate Hardy \(H^2\) kernels
• A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
• Capacities and kernels on Riemann surfaces
• On weighted kernels
• Curvature Measures
• One dimensional estimates for the Bergman kernel and logarithmic capacity
• A Class of Domain Functions and Some Allied Extremal Problems
• CONCAVITY PROPERTY OF MINIMAL INTEGRALS WITH LEBESGUE MEASURABLE GAIN
• Concavity of minimal \(L^2\) Integrals related to multiplier ideal sheaves

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