Real interpolation of weighted tent spaces.

Letandbe a Muckenhoupt weight. In this article, the authors study the real interpolation of the weighted tent space. For all,,and, the authors show that, whereanddenotes 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 spacesfor alland, 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]. [ABSTRACT FROM AUTHOR]