The vector-valued tent spaces T^1 and T^\infty
Functional Analysis
2019-02-20 v2
Abstract
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.
Cite
@article{arxiv.1105.0261,
title = {The vector-valued tent spaces T^1 and T^\infty},
author = {Mikko Kemppainen},
journal= {arXiv preprint arXiv:1105.0261},
year = {2019}
}
Comments
19 pages, minor corrections made