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

By Wael Abu-Shammala, Alberto Torchinsky. 2007

82 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/11e22207cada9b862d9c7cc68e30cfa941ef1b74

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In Applied Mathematics

1. Yong Jiao
2. Lian Wu
3. Guangheng Xie

In Mathematical Physics

1. Yong Jiao
2. Lian Wu
3. Guangheng Xie

Citations in the corpus

• The predual and John-Nirenberg inequalities on generalized BMO martingale spaces (2014, background): “nd(3,p,∞)- atom, respectively. We conclude this section by two lemmas which are very useful to verify that a function is in Lorentz spaces Lp,q, which are respectively from Lemma 1.1 and Lemma 1.2 in [1]. Lemma 2.3. Let 0 &lt; p &lt; ∞,0 &lt; q ≤ ∞, assume that the nonnegative sequence {µk} satisfies”