It is explored the interaction between the symmetry of the exponent function and log-Hölder continuity in controlling the boundedness of the Hardy-Littlewood maximal operator in variable exponent Lebesgue spaces.
"Note on local properties of the exponents and boundedness of Hardy-Littlewood maximal operator in variable Lebesgue spaces." Hokkaido Math. J. 49 (2) 215 - 226, June 2020. https://doi.org/10.14492/hokmj/1602036024