Alberto Fıorenza, Babita Gupta, Pankaj Kumar Jain
Abstract
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We study the Hardy inequality and derive the maximal theorem of Hardy and Littlewood in the context of grand Lebesgue spaces, considered when the underlying measure space is the interval $(0,1)\subset\mathbb R$, and the maximal function is localized in $(
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We study the Hardy inequality and derive the maximal theorem of Hardy and Littlewood in the context of grand Lebesgue spaces, considered when the underlying measure space is the interval $(0,1)\subset\mathbb R$, and the maximal function is localized in $(
Key concepts: Mathematics, Maximal function, Lp space, Lebesgue measure, Hardy space, Standard probability space, Context (archaeology), Pure mathematics