Title of article :
Weak Hardy space and endpoint estimates for singular integrals on space of homogeneous type
Author/Authors :
Ding, Yong Beijing Normal University - ,Ministry of EducationSchool of Mathematical Sciences - Laboratory of Mathematics and Complex Systems (BNU), CHINA , Wu, Xinfeng Beijing Normal University - School of Mathematical Sciences, CHINA
Abstract :
We develop the theory of weak Hardy spaces H^{1,infty} on space of homogeneous type. As some applications, we show that certain singular integral operators and fractional integral operators are bounded from H^{1,infty} to L^{1,infty} and L^{frac{1}{1-alpha},infty}, respectively. We give also the endpoint estimates for Nagel and Stein s singular integrals studied in [10].
Keywords :
Weak Hardy spaces , singular integral , fractional integral , endpoint estimate
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
