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arXiv · 1803.07839

Sharp estimates for operators with positive Bergman kernel in Homogeneous Siegel domains of Cn

Nana Cyrille
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Abstract

We obtain necessary and sufficient conditions for the $L^p$-boundedness of the operator with positive Bergman kernel in some homogeneous Siegel domains of Cn. The key tool used here is the Okikiolu test, which finally leads to better result than the Schur test as it has been used so far.

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Nana Cyrille. 2018-03-21. Sharp estimates for operators with positive Bergman kernel in Homogeneous Siegel domains of Cn. https://arxiv.org/abs/1803.07839

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