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2005 The dyadic structure and atomic decomposition of {$Q$} spaces in several real variables
Galia Dafni, Jie Xiao
Tohoku Math. J. (2) 57(1): 119-145 (2005). DOI: 10.2748/tmj/1113234836

Abstract

This paper contains several results relating $Q$ spaces in several real variables with their dyadic counterparts, which are analogues of theorems for BMO and for $Q$ spaces on the circle. In addition, it gives an atomic (or quasi-orthogonal) decomposition for these $Q$ spaces in terms of the same type of atoms used to decompose BMO.

Citation

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Galia Dafni. Jie Xiao. "The dyadic structure and atomic decomposition of {$Q$} spaces in several real variables." Tohoku Math. J. (2) 57 (1) 119 - 145, 2005. https://doi.org/10.2748/tmj/1113234836

Information

Published: 2005
First available in Project Euclid: 11 April 2005

zbMATH: 1129.42400
MathSciNet: MR2113992
Digital Object Identifier: 10.2748/tmj/1113234836

Subjects:
Primary: 42B35
Secondary: 46E30 , 47B38

Keywords: atomic decomposition , BMO , dyadic structure , fractional Carleson measures , Martingales , Q spaces , quasi-orthogonal decomposition

Rights: Copyright © 2005 Tohoku University

Vol.57 • No. 1 • 2005
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