Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
A proof of Saitoh's conjecture for conjugate Hardy 𝐻2 kernels
Qi'an Guan
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2019 Volume 71 Issue 4 Pages 1173-1179

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Abstract

In this article, we obtain a strict inequality between the conjugate Hardy 𝐻2 kernels and the Bergman kernels on planar regular regions with 𝑛 > 1 boundary components, which is a conjecture of Saitoh.

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© 2019 The Mathematical Society of Japan
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