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;
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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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