Sharp estimates for operators with positive Bergman kernel in Homogeneous Siegel domains of Cn
Complex Variables
2020-07-29 v2
Abstract
We obtain necessary and sufficient conditions for the -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.
Cite
@article{arxiv.1803.07839,
title = {Sharp estimates for operators with positive Bergman kernel in Homogeneous Siegel domains of Cn},
author = {Nana Cyrille},
journal= {arXiv preprint arXiv:1803.07839},
year = {2020}
}
Comments
31 pages The paper is withdrawn because we finally realize that the Okikiolu test is noting but a variant of the Schur test. It therefore does not provide better result than the Schur test as announced