Decomposition of 0,11 (ℤ) into special atoms

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Abstract

The so–called special atom space 0,11 (ℝ) plays an important role as a substitute in many problems in analysis for the larger Hardy space H1(ℝ). In this article the analogous space 0,11 (ℤ) in the discrete setting is investigated. In particular, appropriate special atom decompositions of the elements in the space are obtained. The work is motivated by previous work in the subject in the characterization of spaces of sequences.

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