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arxiv: 1712.04207 · v2 · pith:PLVQYFABnew · submitted 2017-12-12 · 🧮 math.CV · math.DG

A proof of Saitoh's conjecture for conjugate Hardy H² kernels

classification 🧮 math.CV math.DG
keywords kernelsconjectureconjugatehardysaitoharticlebergmanboundary
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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.

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