Spaces of Carleson measures: duality and interpolation
We consider the relationship of tent spaces with spaces of Carleson measures. In particular we identify the spaces of Carleson measures as duals of certain tent spaces. We also compute the real interpolation spaces of some extreme tent spaces. Finally, we outline an extension of our results to product domains. Coifman, Meyer and Stein developed a theory of tent spaces with interesting applications. Their theory has led to a unification and simplification of some basic techniques in harmonic analysis. The theory of tent spaces is closely related to the one of Hardy spaces. As pointed out by Coifman, Meyer and Stein, the interpolation theory of tent spaces can be used to derived the corresponding theory for \(H^ p\) spaces and Lipschitz spaces.
scientific article; zbMATH DE number 4040516
scientific article