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arXiv · 1304.3932

Local Hardy-Littlewood maximal opeator in variable Lebesgue spaces

Ana Danelia·Amiran Gogatishvili·Tengiz Kopaliani
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Abstract

We investigate the class $\mathcal{B}^{loc}(\mathbb{R}^{n})$ of exponents $p(\cdot)$ for with local Hardy-Littlewood maximal operator is bounded in $L^{p(\cdot)}(\mathbb{R}^{n})$ space. Littlewood-Paley square-function characterization of $L^{p(\cdot)}(\mathbb{R}^{n})$ spaces with the above class of exponent are also obtained.

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Ana Danelia, Amiran Gogatishvili, Tengiz Kopaliani. 2013-04-14. Local Hardy-Littlewood maximal opeator in variable Lebesgue spaces. https://arxiv.org/abs/1304.3932

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