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].
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