Abstract
In this paper, we introduce weak Hardy spaces $H^{p,\infty}$ on spaces of homogeneous type. We establish an atomic decomposition characterization of these spaces, show the boundedness of fractional integral operators and provide an $H^{p,\infty}$ interpolation theorem. Applications to the Nagel-Stein's singular integral operators and fractional integral operators are also discussed.
Citation
Xinfeng Wu. Xiaohua Wu. "WEAK HARDY SPACES $H^{p,\infty}$ ON SPACES OF HOMOGENEOUS TYPE AND THEIR APPLICATIONS." Taiwanese J. Math. 16 (6) 2239 - 2258, 2012. https://doi.org/10.11650/twjm/1500406849
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