Fefferman-Stein decomposition for Q-spaces and micro-local quantities. (November 2016)

• Record Type: Journal Article
• Authors: Yang, Qixiang; Qian, Tao; Li, Pengtao
• Is Part Of: Nonlinear analysis. Volume 145(2016)
• Page Start: 24
• Page End: 48
• Publication Date: 2016-11
• Subjects: primary 42B20 76D03 42B35 46E30; Generalized Hardy spaces -- Micro-local structure -- Wavelet characterization -- Atoms -- Fefferman-Stein type decomposition; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.07.001
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we study the Fefferman-Stein decomposition of Q α ( R n ) and give an affirmative answer to an open problem posed by Essén et al. (2000). One of our main methods is to characterize the structure of the predual of Q α ( R n ) by the micro-local quantities. This result indicates that the norm of the predual space of Q α ( R n ) depends on the micro-local structure in a self-correlation way.