Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces

被引：2
|
作者：
Wang, Zequn [1 ]
Wei, Mingquan [2 ]
He, Qianjun [3 ]
Yan, Dunyan [1 ]
机构：
[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China
[3] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷
基金：
中国国家自然科学基金;
关键词：
CONSTANTS;
D O I：
10.1155/2020/5064156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1Double-struck capital Rn1xMIDLINE HORIZONTAL ELLIPSISxDouble-struck capital Rnm to the space wLQDouble-struck capital Rn1xMIDLINE HORIZONTAL ELLIPSISxDouble-struck capital Rnm and LpDouble-struck capital Rn1xMIDLINE HORIZONTAL ELLIPSISxDouble-struck capital Rnm to the space LqDouble-struck capital Rn1xMIDLINE HORIZONTAL ELLIPSISxDouble-struck capital Rnm. More generally, the operator norm of the fractional Hardy operator on higher-dimensional product spaces from LPDouble-struck capital Rn1xMIDLINE HORIZONTAL ELLIPSISxDouble-struck capital Rnm to LQIDouble-struck capital Rn1xMIDLINE HORIZONTAL ELLIPSISxDouble-struck capital Rnm is obtained.
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页数：8
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