A proof of Saitoh's conjecture for conjugate Hardy $H^{2}$ kernels
Complex Variables
2018-03-13 v2 Differential Geometry
Abstract
In this article, we obtain a strict inequality between the conjugate Hardy kernels and the Bergman kernels on planar regular regions with boundary components, which is a conjecture of Saitoh.
Keywords
Cite
@article{arxiv.1712.04207,
title = {A proof of Saitoh's conjecture for conjugate Hardy $H^{2}$ kernels},
author = {Qi'an Guan},
journal= {arXiv preprint arXiv:1712.04207},
year = {2018}
}
Comments
6 pages. The sentence "backgrounds and related results could be referred to Hejhal's paper \cite{Hejhal} and Fay's book \cite{fay}" was added