Real interpolation of weighted tent spaces. Issue 11 (1st November 2016)

• Record Type: Journal Article
• Authors: Cao, Jun; Chang, Der-Chen; Fu, Zunwei; Yang, Dachun
• Is Part Of: Applicable analysis. Volume 95:Issue 11(2016)
• Page Start: 2415
• Page End: 2443
• Publication Date: 2016-11-01
• Subjects: Real interpolation -- tent space -- Lorentz space -- Hardy space -- Muckenhoupt weight -- decreasing rearrangement -- Hardy inequality; Primary: 46B70 -- Secondary: 42B35 -- 42B30 -- 46E30; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1091924
• Languages: English
• ISSNs: 0003-6811

Abstract

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].