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

摘要

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