Tb theorems for Triebel-Lizorkin spaces over special spaces of homogeneous type and their applications
Inhomogenous Discrete Calderón Reproducing Formulas for Spaces of Homogenous Type.
Triebel-Lizorkin spaces on spaces of homogeneous type
In [HS] the Besov and Triebel-Lizorkin spaces on spaces of homogeneous type were introduced. In this paper, the Triebel-Lizorkin spaces on spaces of homogeneous type are generalized to the case where , and a new atomic decomposition for these spaces is obtained. As a consequence, we give the Littlewood-Paley characterization of Hardy spaces on spaces of homogeneous type which were introduced by the maximal function characterization in [MS2].
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