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

Wael Abu-Shammala; Alberto Torchinsky — 2007

Studia Mathematica

We deal with the Hardy-Lorentz spaces $H^{p, q} (ℝ ⁿ)$ 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.

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The Hardy-Lorentz spaces H p , q ( ℝ ⁿ )

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