Estimates of the Bergman kernel on Teichmüller space

DOI10.1090/proc/15580OpenAlexW3150604086MaRDI QIDQ5889745

Hideki Miyachi, Guangming Hu

Publication date: 27 April 2023

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

Full work available at URL: https://arxiv.org/abs/2008.06818

zbMATH Keywords

Teichmüller spaceBergman kernelTeichmüller distancepluripotential theory

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Deformations of complex structures (32G05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Cites Work

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• Lattice point asymptotics and volume growth on Teichmüller space
• The invariant pseudo-metric related to negative plurisubharmonic functions
• Gauss measures for transformations on the space of interval exchange maps
• Interval exchange transformations and measured foliations
• Estimates for the Bergman kernel and the multidimensional Suita conjecture
• Statistical hyperbolicity in Teichmüller space
• Capacities and kernels on Riemann surfaces
• Intrinsic area
• Simultaneous uniformization
• A Uniqueness Theorem for Beltrami Equations
• Extremal plurisubharmonic functions and invariant pseudodistances
• La métrique de Kobayashi et la représentation des domaines sur la boule
• The Green function of Teichmüller spaces with applications
• THE BERGMAN METRIC ON TEICHMÜLLER SPACE
• L² Approaches in Several Complex Variables
• Pluripotential theory on Teichmüller space I: Pluricomplex Green function
• Comparison of the Bergman kernel and the Carathéodory–Eisenman volume
• A Lower Bound for the Bergman Kernel and the Bourgain-Milman Inequality
• Geometry of Bounded Domains
• On Teichmuller Spaces for Finitely Generated Fuchsian Groups