Turkish Journal of Mathematics
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].
DOI
10.3906/mat-0809-37
Keywords
Weak Hardy spaces, singular integral, fractional integral, endpoint estimate.
First Page
235
Last Page
248
Recommended Citation
DING, Y, & WU, X (2010). Weak Hardy space and endpoint estimates for singular integrals on space of homogeneous type. Turkish Journal of Mathematics 34 (2): 235-248. https://doi.org/10.3906/mat-0809-37
