Tent spaces at endpoints
type: Item
instance of: scholarly article
title: Tent spaces at endpoints
zbMATH Open document ID: 1385.42022
DOI: 10.1215/17358787-2017-0020
author: Ting Mei
author: Yong Ding
published in: Banach Journal of Mathematical Analysis
publication date: 2018-02-20T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bjma/1502935413
review text: \textit{R. R. Coifman} et al. [J. Funct. Anal. 62, 304--335 (1985; Zbl 0569.42016)] developed a theory of tent spaces \(T^p_q(\mathbb{R}^{n+1}_{+}),\;1< p,q < \infty\). The authors investigate tent spaces at endpoints. The authors show that the predual of tent space \(T^1_{\infty}(\mathbb{R}^{n+1}_{+})\) is the vanishing Carleson measure space on \(\mathbb{R}^{n+1}_{+}\). They also give the characterization of \(T^{\infty}_q(\mathbb{R}^{n+1}_{+})\) via the boundedness of the Poisson type integral. As application they give the boundedness and compactness on \(L^q(\mathbb{R}^n)\) of the paraproduct associated with the tent space \(T^{\infty}_q(\mathbb{R}^{n+1}_{+})\).
reviewed by: Koichi Saka
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 42B99
Mathematics Subject Classification ID: 46E27
zbMATH DE Number: 6841257
zbMATH Keywords: tent space
zbMATH Keywords: Carleson measure
zbMATH Keywords: Poisson integral
zbMATH Keywords: paraproduct
zbMATH Keywords: predual
MaRDI profile type: Publication
OpenAlex ID: W2747428190
description: scientific article; zbMATH DE number 6841257