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

作者机构：College of Mathematics and StatisticsHunan Normal University.Changsha 410081China School of MathematicsHunan UniversityChangsha 410082China School of Mathematics and Computational ScienceHunan University of Science and TechnologyXiangtan 411201China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2024年第44卷第4期

页      面：1301-1326页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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) 

主　　题：Forelli-Rudin type operator L^(p q s k)(B_(n))space boundedness unit ball 

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 *** order to prove the main results,we first give some bidirectional estimates for several typical integrals.