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Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting |
Xianming HOU1, Huoxiong WU2( ) |
1. School of Mathematics and Statistics, Linyi University, Linyi 276005, China
2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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Abstract 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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| Keywords
Limiting weak-type behaviors
Bessel operators
Riesz transforms
maximal operators
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Corresponding Author(s):
Huoxiong WU
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Issue Date: 10 July 2019
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