The dyadic structure and atomic decomposition of {$Q$} spaces in several real variables
Dafni, Galia ; Xiao, Jie
Tohoku Math. J. (2), Tome 57 (2005) no. 1, p. 119-145 / Harvested from Project Euclid
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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.
Publié le : 2005-03-14
Classification:  Q spaces,  BMO,  dyadic structure,  martingales,  fractional Carleson measures,  atomic decomposition,  quasi-orthogonal decomposition,  42B35,  46E30,  47B38 
@article{1113234836,
     author = {Dafni, Galia and Xiao, Jie},
     title = {The dyadic structure and atomic decomposition of {$Q$} spaces in several real variables},
     journal = {Tohoku Math. J. (2)},
     volume = {57},
     number = {1},
     year = {2005},
     pages = { 119-145},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113234836}
}

Dafni, Galia; Xiao, Jie. The dyadic structure and atomic decomposition of {$Q$} spaces in several real variables. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp.  119-145. http://gdmltest.u-ga.fr/item/1113234836/