The Hardy-Lorentz spaces $H^{p,q}(ℝⁿ)$

• Autorzy: Wael Abu-Shammala , Alberto Torchinsky
• Języki publikacji: EN

Abstrakty

EN

We deal with the Hardy-Lorentz spaces $H^{p,q}(ℝⁿ)$ where 0 < p ≤ 1, 0 < q ≤ ∞. We discuss the atomic decomposition of the elements in these spaces, their interpolation properties, and the behavior of singular integrals and other operators acting on them.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 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: 2007
• Tom: 182
• Numer: 3
• Strony: 283-294

Daty

wydano

2007

Twórcy

autor

Wael Abu-Shammala

• Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.

autor

Alberto Torchinsky

• Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.

Identyfikatory

DOI

10.4064/sm182-3-7