Generalized grand Lorentz martingale spaces
Zeitschrift für Analysis und ihre Anwendungen（2023）
摘要
In this article, we define a new class of function spaces Lp;q/;⠒ which unify and gener- alize the Iwaniec-Sbordone spaces with q=p, grand Lorentz spaces ⠒=1 and classical Lorentz spaces ⠒=0. Based on the new space, we introduce a kind of Hardy-type space, Hps;q/;⠒, via the martingale operators and then develop a theory of these martingale Hardy spaces. More specifically, the atomic decompositions of Hps;q/;⠒(0 < p < 1, 1 < q 更多
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关键词
Martingale, generalized grand Lorentz spaces, Burkholder-Davis-Gundy inequalities, atomic decompositions, duality, John-Nirenberg inequalities
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