Bounded Pluriharmonic Functions and Holomorphic Functions on Teichm\"uller Space II -- Poisson integral formula --
Complex Variables
2025-07-29 v1 Geometric Topology
Abstract
In this paper, we establish the Poisson integral formula for bounded pluriharmonic functions on the Teichm\"uller space of analytically finite Riemann surfaces of type with . We also discuss a version of the F. and M. Riesz theorem concerning the value distribution of plurisubharmonic functions on the Teichm\"uller space, as well as a Teichm\"uller-theoretic interpretation of the mean value theorem for pluriharmonic functions.
Keywords
Cite
@article{arxiv.2507.19930,
title = {Bounded Pluriharmonic Functions and Holomorphic Functions on Teichm\"uller Space II -- Poisson integral formula --},
author = {Hideki Miyachi},
journal= {arXiv preprint arXiv:2507.19930},
year = {2025}
}