Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Estimates of the Bergman kernel on Teichmüller space
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by Guangming Hu and Hideki Miyachi;
Proc. Amer. Math. Soc. 151 (2023), 2895-2905
DOI: https://doi.org/10.1090/proc/15580
Published electronically: April 6, 2023

Abstract:

In this paper, a comparison between the Bergman kernel form and the pushforward measure of the Masur-Veech measure on the Teichmüller space of genus $g\ge 2$ is obtained.
References
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Bibliographic Information
  • Guangming Hu
  • Affiliation: College of Science, Jinling Institute of Technology, Nanjing 211169, People’s Republic of China
  • Email: 18810692738@163.com
  • Hideki Miyachi
  • Affiliation: School of Mathematics and Physics, College of Science and Engineering, Kanazawa University, Kakuma-machi, Kanazawa, Ishikawa 920-1192, Japan
  • MR Author ID: 650573
  • ORCID: 0000-0003-4318-9539
  • Email: miyachi@se.kanazawa-u.ac.jp
  • Received by editor(s): August 15, 2020
  • Received by editor(s) in revised form: February 5, 2021
  • Published electronically: April 6, 2023
  • Additional Notes: The first author was partially supported by PhD research startup foundation of Jinling Institute Technology Grant Number jit-b-202011 and jit-fhxm-2018
    The second author was partially supported by JSPS KAKENHI Grant Numbers 20H01800, 16H03933, 17H02843
  • Communicated by: Filippo Bracci
  • © Copyright 2023 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 151 (2023), 2895-2905
  • MSC (2020): Primary 32G05, 32G15, 32U35, 32A25, 32F45; Secondary 53C60
  • DOI: https://doi.org/10.1090/proc/15580
  • MathSciNet review: 4579365