%0 Journal Article
%T The vector-valued tent spaces T^1 and T^\infty
%A Mikko Kemppainen
%J Mathematics
%D 2011
%I arXiv
%R 10.1017/S1446788714000123
%X Tent spaces of vector-valued functions were recently studied by Hyt\"onen, van Neerven and Portal with an eye on applications to H^\infty-functional calculi. This paper extends their results to the endpoint cases p = 1 and p = \infty along the lines of earlier work by Harboure, Torrea and Viviani in the scalar-valued case. The main result of the paper is an atomic decomposition in the case p = 1, which relies on a new geometric argument for cones. A result on the duality of these spaces is also given.
%U http://arxiv.org/abs/1105.0261v2