Morrey spaces on spaces of homogeneous type and estimates for □_b and the Cauchy-Szegö projection

In this paper, we define an appropriate version of Morrey spaces for spaces of homogeneous type. As our main result, we give a sufficient condition for an operator to be bounded on the version of Morrey spaces (cf. Theorem 3.1 and Corollary 3.5). Moreover, using this result, we prove Morrey space estimates for various operators arising in harmonic analysis and complex analysis of several variables.