A+ CATEGORY SCIENTIFIC UNIT

The Hardy–Lorentz spaces $H^{p,q}({\mathbb R}^n)$

Volume 182 / 2007

Wael Abu-Shammala, Alberto Torchinsky Studia Mathematica 182 (2007), 283-294 MSC: 42B20, 42B30, 42B35. DOI: 10.4064/sm182-3-7

Abstract

We deal with the Hardy–Lorentz spaces $H^{p,q}({\mathbb R}^n)$ where $0< p\le 1$, $0< q\le \infty$. 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.

Authors

  • Wael Abu-ShammalaDepartment of Mathematics
    Indiana University
    Bloomington, IN 47405, U.S.A.
    e-mail
  • Alberto TorchinskyDepartment of Mathematics
    Indiana University
    Bloomington, IN 47405, U.S.A.
    e-mail

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