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• # Artykuł - szczegóły

## Studia Mathematica

2012 | 209 | 1 | 53-69

## Factorization of sequences in discrete Hardy spaces

EN

### Abstrakty

EN
The purpose of this paper is to obtain a discrete version for the Hardy spaces $H^{p}(ℤ)$ of the weak factorization results obtained for the real Hardy spaces $H^{p}(ℝⁿ)$ by Coifman, Rochberg and Weiss for p > n/(n+1), and by Miyachi for p ≤ n/(n+1). It represents an extension, in the one-dimensional case, of the corresponding result by A. Uchiyama who obtained a factorization theorem in the general context of spaces X of homogeneous type, but with some restrictions on the measure that exclude the case of points of positive measure on X and, hence, ℤ. In order to obtain the factorization theorem, we first study the boundedness of some bilinear maps defined on discrete Hardy spaces.

53-69

wydano
2012

### Twórcy

autor
• Department of Applied Mathematics IV, EPSEVG, Polytechnical University of Catalonia, E-08880 Vilanova i Geltrú, Spain