Abstract
In this article, we obtain a strict inequality between the conjugate Hardy $H^{2}$ kernels and the Bergman kernels on planar regular regions with $n > 1$ boundary components, which is a conjecture of Saitoh.
Funding Statement
The author was supported by NSFC-11825101, NSFC-11522101 and NSFC-11431013.
Citation
Qi'an GUAN. "A proof of Saitoh's conjecture for conjugate Hardy $H^{2}$ kernels." J. Math. Soc. Japan 71 (4) 1173 - 1179, October, 2019. https://doi.org/10.2969/jmsj/80668066
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