Weak Hardy space and endpoint estimates for singular integrals on space of homogeneous type

Authors: YONG DING, XINFENG WU

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.

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