The Hardy-Lorentz Spaces $H^{p,q}(R^n)$

Abstract

In this paper we consider the Hardy-Lorentz spaces $H^{p,q}(R^n)$, with $0<p\le 1$, $0<q\le \infty$. 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.

Cited by in corpus (3)

• Variable Weak Hardy Spaces and Their Applications
• Anisotropic Hardy-Lorentz Spaces and Their Applications
• Riesz transforms, Cauchy-Riemann systems and amalgam Hardy spaces