Geodesic
Triebel-Lizorkin spaces on spaces of homogeneous type
Studia Mathematica, Tome 108 (1994) no. 3, pp. 247-273 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $p_0 p ≤ 1 ≤ q ∞$, 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].
DOI : 10.4064/sm-108-3-247-273
Keywords: spaces of homogeneous type, $H^p$ and Triebel-Lizorkin spaces, Littlewood-Paley S-function, atomic decomposition 
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Y.-S Han. Triebel-Lizorkin spaces on spaces of homogeneous type. Studia Mathematica, Tome 108 (1994) no. 3, pp. 247-273. doi: 10.4064/sm-108-3-247-273

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