POINTWISE AND INTEGRAL ESTIMATES FOR THE RIESZ POTENTIALS ON THE LAGUERRE HYPERGROUP

被引：0
|
作者：
Omarova, Mehriban N. [1 ,2 ]
机构：
[1] NAS Azerbaijan, Inst Math & Mech, 9 B Vahabzadeh Str, AZ-1141 Baku, Azerbaijan
[2] Baku State Univ, AZ-1148 Baku, Azerbaijan
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2014年 / 40卷 / 02期
关键词：
Laguerre hypergroup; generalized translation operator; FourierLaguerre transform; maximal operator; fractional maximal operator; Riesz potential operator;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the generalized shift operator, generated by Laguerre hypergroup, by means of which the maximal function, fractional maximal function and Riesz potential are investigated. We proved pointwise and integral estimates for Riesz potential in terms maximal and fractional maximal function on the Laguerre hypergroup.
引用
收藏
页码：34 / 44
页数：11
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