A proof of Saitoh's conjecture for conjugate Hardy $H^2$ kernels

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.

arXiv comment6 pages. The sentence "backgrounds and related results could be referred to Hejhal's paper \cite{Hejhal} and Fay's book \cite{fay}" was added

References in corpus (1)

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