椭球型Bochner-Riesz平均的L^p收敛  

L^P-Convergence of Elliptical Bochner-Riesz Means

作　　者：林翠云 LIN Cuiyun(College of Science, Shantou University, Shantou 515063, Guangdong, China)

机构地区：[1]汕头大学理学院,广东汕头515063

出　　处：《汕头大学学报（自然科学版）》2019年第1期19-28,共10页Journal of Shantou University：Natural Science Edition

摘　　要：在本文中,我们刻画了椭球型Bochner-Riesz平均Lp收敛性与Lp有界性的关系.我们也证明了在适当的指标下,椭球型Bochner-Riesz平均的Lp收敛性.The relationship between the L^p convergence of elliptical Bochner-Riesz means and the L^p boundedness of elliptical Bochner-Riesz means is investigated in this paper. The L^p convergence of elliptical Bochner-Riesz means with certain parameters is also proved.

关 键 词：球型Bochner-Riesz算子 BESSEL函数 Schwartz函数 L^p有界 L^p收敛 Bochner-Riesz猜想 

分 类 号：O174.22[理学—数学]