On molecules and fractional integrals on spaces of homogeneous type with finite measure
Volume 103 / 1992
Studia Mathematica 103 (1992), 25-39
DOI: 10.4064/sm-103-1-25-39
Abstract
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.
