Geodesic
On molecules and fractional integrals on spaces of homogeneous type with finite measure
Studia Mathematica, Tome 103 (1992) no. 1, pp. 25-39
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In this paper we prove the continuity of fractional integrals acting on nonhomogeneous function spaces defined on spaces of homogeneous type with finite measure. A definition of the molecules which are used in the $H^p$ theory is given. Results are proved for $L^p$, $H^p$, BMO, and Lipschitz spaces. 
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A. Eduardo Gatto. On molecules and fractional integrals on spaces of homogeneous type with finite measure. Studia Mathematica, Tome 103 (1992) no. 1, pp. 25-39. doi: 10.4064/sm-103-1-25-39

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