Lp boundedness of Forelli-Rudin type operators on the Hartogs triangle

Abstract

The Hartogs triangle H={(z1,z2)∈C2:|z1|<|z2|<1}, compared with the unit ball, is a non-smooth pseudoconvex domain which reveals various remarkable phenomena in several complex variables. Motivated by the recent work of Kures and Zhu (2006) [14] over the unit ball setting, in this paper, we completely characterize Lp boundedness of Forelli-Rudin type integral operators on the Hartogs triangle for all 1≤p≤∞.