Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 11, Number 4 (2017), 841-863.
Tent spaces at endpoints
In 1985, Coifman, Meyer, and Stein gave the duality of the tent spaces; that is, for , and , for , where denotes the Carleson measure space on . We prove that , which we introduced recently, where is the vanishing Carleson measure space on . We also give the characterizations of by the boundedness of the Poisson integral. As application, we give the boundedness and compactness on of the paraproduct associated with the tent space , and we extend partially an interesting result given by Coifman, Meyer, and Stein, which establishes a close connection between the tent spaces and , and spaces.
Banach J. Math. Anal. Volume 11, Number 4 (2017), 841-863.
Received: 20 June 2016
Accepted: 20 November 2016
First available in Project Euclid: 17 August 2017
Permanent link to this document
Digital Object Identifier
Primary: 42B35: Function spaces arising in harmonic analysis
Secondary: 42B99: None of the above, but in this section
Ding, Yong; Mei, Ting. Tent spaces at endpoints. Banach J. Math. Anal. 11 (2017), no. 4, 841--863. doi:10.1215/17358787-2017-0020. https://projecteuclid.org/euclid.bjma/1502935413