Local Hardy-Littlewood maximal opeator in variable Lebesgue spaces

Ana Danelia, Amiran Gogatishvili, Tengiz Kopaliani

We investigate the class ${\mathcal{B}}^{loc}({\mathbb{R}}^n)$ of exponents $p(\cdot )$ for with local Hardy-Littlewood maximal operator is bounded in $L^{p(\cdot )}({\mathbb{R}}^n)$ s…