English

$L^p-L^q$ boundedness of Bergman-type operators over the Siegel upper half-space

Complex Variables 2017-11-02 v1 Functional Analysis

Abstract

We characterize the LpLqL^p-L^q boundedness of Bergman-type operators over the Siegel upper half-space. This extends a recent result of Cheng et. al. (Trans. Amer. Math. Soc. 369:8643--8662, 2017) to higher dimensions.

Keywords

Cite

@article{arxiv.1711.00301,
  title  = {$L^p-L^q$ boundedness of Bergman-type operators over the Siegel upper half-space},
  author = {Congwen Liu and Jiajia Si and Pengyan Hu},
  journal= {arXiv preprint arXiv:1711.00301},
  year   = {2017}
}