Frontiers of Mathematics in China >
Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting
Received date: 20 Dec 2017
Accepted date: 29 May 2019
Published date: 15 Jun 2019
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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.
Xianming HOU , Huoxiong WU . Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting[J]. Frontiers of Mathematics in China, 2019 , 14(3) : 535 -550 . DOI: 10.1007/s11464-019-0774-8
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