On molecules and fractional integrals on spaces of homogeneous type with finite measure

A. Eduardo Gatto; Stephen Vági

ArticleOriginal scientific text

Title

On molecules and fractional integrals on spaces of homogeneous type with finite measure

Authors ¹, ¹

Affiliations

Department of Mathematics, DePaul University, Chicago, Illinois 60614, U.S.A.

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.

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Title

On molecules and fractional integrals on spaces of homogeneous type with finite measure

Affiliations

Abstract

Bibliography