Some new tent spaces and duality theorems for fractional Carleson measures and [formula omitted

Abstract

Several duality questions for fractional Carleson measures and the spaces Q α( R n) are resolved using a new type of tent spaces. These tent spaces are defined in terms of Choquet integrals with respect to Hausdorff capacity. A predual for Q α( R n) is then defined as a space of distributions containing the Hardy space H 1, and an atomic decomposition is proved.