Geodesic
Boundedness of para-product operators on spaces of homogeneous type
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 1, pp. 235-252.

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We obtain the boundedness of Calderón-Zygmund singular integral operators $T$ of non-convolution type on Hardy spaces $H^p(\mathcal X)$ for $ 1/{(1+\epsilon )}$, where ${\mathcal X}$ is a space of homogeneous type in the sense of Coifman and Weiss (1971), and $\epsilon $ is the regularity exponent of the kernel of the singular integral operator $T$. Our approach relies on the discrete Littlewood-Paley-Stein theory and discrete Calderón's identity. The crucial feature of our proof is to avoid atomic decomposition and molecular theory in contrast to what was used in the literature.
DOI : 10.21136/CMJ.2017.0536-15
Classification : 42B25, 42B30
Keywords: boundedness; Calderón-Zygmund singular integral operator; para-product; spaces of homogeneous type 
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Xiao, Yayuan. Boundedness of para-product operators on spaces of homogeneous type. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 1, pp. 235-252. doi : 10.21136/CMJ.2017.0536-15. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0536-15/

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