Real interpolation of weighted tent spaces

Abstract

Let and be a Muckenhoupt weight. In this article, the authors study the real interpolation of the weighted tent space . For all , , and , the authors show that , where and denotes the weighted Lorentz-tent space, which is introduced in this article. As an application, the authors prove a real interpolation result on the weighted Hardy spaces for all and , which, when , seals a gap existing in the original proof of a corresponding result of Fefferman et al. [Trans. Amer. Math. Soc. 1974;191:75–81].