We completely characterize Lp-Lq boundedness of integral operators of Forelli–Rudin type acting on the Hartogs triangle H= (z1, z2) ∈C2: |z1|<|z2|<1 for all 1≤p, q≤∞, which generalizes the characterization of Lp-Lq boundedness on the unit ball given by Zhao and Zhou J. Funct. Anal. 282 (2022). Due to the non-smooth boundary of the Hartogs triangle, our strategies are essentially different than in the case of unit ball. As an application, we also study the hyper-singular property of Bergman-type operators, which gives a positive answer to the conjecture raised by Cheng et al. Trans. Amer. Math. Soc. 369 (2017) for the Hartogs triangle setting.
Qin et al. (Wed,) studied this question.