1. Real interpolation of weighted tent spaces.
- Author
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Cao, Jun, Chang, Der-Chen, Fu, Zunwei, and Yang, Dachun
- Subjects
- *
INTERPOLATION , *LORENTZ spaces , *HARDY spaces , *PROOF theory , *MATHEMATICAL analysis - Abstract
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]
- Published
- 2016
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