The boundedness of two classes of integral operators

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

“…to Siegel upper half-space and discussed the boundedness of T 0,0,c from L p to L q space.The next year,in [2],Liu et.al. gave the L p − L p boundedness of T a,b,c and S a,b,c ,after that,two autuor of this paper also discussed the sufficiency and the necessity for the L p α − L q β boundedness of the two generalized classes of Forelli-Rudin type operators T a,b,c and S a,b,c in [15] for 1 ≤ p ≤ q ≤ ∞.Finally,in 2023,Zhou et.al. [4] answered the Conjucture 1.4 of [15] for the case p = 1, q = ∞ and established the relationship of the L p − L q boundedness of Forelli-Rudin type operators between the unit ball B n and the Siegel upper half-space U. Now,we extend the operators T a,b,c and S a,b,c to the multiparameter cases in this article.…”