Factorization of sequences in discrete Hardy spaces

• Autorzy: Santiago Boza
• Języki publikacji: 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.

Kategorie tematyczne

• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 209
• Numer: 1
• Strony: 53-69

Daty

wydano

2012

Twórcy

autor

Santiago Boza

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

Identyfikatory

DOI

10.4064/sm209-1-5