THE DYADIC STRUCTURE AND ATOMIC DECOMPOSITION OF $Q$ SPACES IN SEVERAL REAL VARIABLES

GALIA DAFNI; JIE XIAO

doi:10.2748/tmj/1113234836

著者情報

キーワード: $Q$ spaces, $BMO$, dyadic structure, martingales, fractional Carleson measures, atomic decomposition, quasi-orthogonal decomposition

ジャーナルフリー

2005 年 57 巻 1 号 p. 119-145

DOI https://doi.org/10.2748/tmj/1113234836

詳細

抄録

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.

責任著者(Corresponding author)

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