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, YONG and WU, XINFENG
(2010)
"Weak Hardy space and endpoint estimates for singular integrals on space of homogeneous type,"
Turkish Journal of Mathematics: Vol. 34:
No.
2, Article 8.
https://doi.org/10.3906/mat-0809-37
Available at:
https://journals.tubitak.gov.tr/math/vol34/iss2/8
