Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting

被引：0
|
作者：
Xianming Hou
Huoxiong Wu
机构：
[1] Linyi University,School of Mathematics and Statistics
[2] Xiamen University,School of Mathematical Sciences
来源：
Frontiers of Mathematics in China | 2019年 / 14卷
关键词：
Limiting weak-type behaviors; Bessel operators; Riesz transforms; maximal operators; 42B20; 42B25;
D O I：
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中图分类号：
学科分类号：
摘要：
We establish the limiting weak type behaviors of Riesz transforms associated to the Bessel operators on ℝ+; which are closely related to the best constants of the weak type (1; 1) estimates for such operators. Meanwhile, the corresponding results for Hardy-Littlewood maximal operator and fractional maximal operator in Bessel setting are also obtained.
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页码：535 / 550
页数：15
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