GENERALIZED FORELLI-RUDIN TYPE OPERATORS BETWEEN SEVERAL FUNCTION SPACES ON THE UNIT BALL OF C^(N)  

作　　者：Xuejun ZHANG Yuting GUO Hongxin CHEN Pengcheng TANG 张学军;郭雨婷;陈洪欣;唐鹏程(College of Mathematics and Statistics,Hunan Normal University.Changsha 410081,China;School of Mathematics,Hunan University,Changsha 410082,China;School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,China)

机构地区：[1]College of Mathematics and Statistics,Hunan Normal University.Changsha 410081,China [2]School of Mathematics,Hunan University,Changsha 410082,China [3]School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,China

出　　处：《Acta Mathematica Scientia》2024年第4期1301-1326,共26页数学物理学报（B辑英文版）

基　　金：supported by the Natural Science Foundation of Hunan Province of China(2022JJ30369);the Education Department Important Foundation of Hunan Province in China(23A0095)。

摘　　要：In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order to prove the main results,we first give some bidirectional estimates for several typical integrals.

关 键 词：Forelli-Rudin type operator L^(p q s k)(B_(n))space BOUNDEDNESS unit ball 

分 类 号：O177[理学—数学]