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

摘要

We establish the limiting weak type behaviors of Riesz transforms associated to the Bessel operators on (+); 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.