Hardy型Tent空间上乘积算子的有界性  

Boundedness of multiplication operators on Hardy type Tent spaces

作　　者：胡蓉 HU Rong(School of Mathematics,Sichuan University of Arts and Science,Dazhou 635000,China)

机构地区：[1]四川文理学院数学学院,四川达州635000

出　　处：《安徽大学学报（自然科学版）》2024年第2期1-7,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(12101467)。

摘　　要：研究Hardy型Tent空间上乘积算子M_(g)的有界性问题,借助序列型Tent空间的对偶性及分解定理,分情况给出所有参数0<p_(1),p_(2),q_(1),q_(2)<∞,α_(1),α_(2)>-n-1所对应的算子M_(g):HT_(q_(1),α_(1))^(p_(1))(B_(n))→HT_(q_(2),α_(2))^(p_(2))(B_(n))有界的连续型和离散型两种等价刻画.This paper discussed the boundedness of the multiplication operators M_(g) on Hardy type tent spaces in the unit ball of C^(n).By using the duality and factorization tricks of the tent spaces of sequences,it gave both the discrete and continuous characterizations of the boundedness of multiplication operators M_(g) from HT_(q_(1),α_(1))^(p_(1))(B_(n))to HT_(q_(2),α_(2))^(p_(2))(B_(n)) for all parameters 0<p_(1),p_(2),q_(1),q_(2)<∞,α_(1),α_(2)>-n-1.

关 键 词：单位球 乘积算子 Tent空间 有界 

分 类 号：O177.2[理学—数学]