Modular inequalities for the maximal operator in variable Lebesgue spaces

David Cruz-Uribe, Giovanni Di Fratta, Alberto Fiorenza

A now classical result in the theory of variable Lebesgue spaces due to Lerner [A. K. Lerner, On modular inequalities in variable $L^p$ spaces, Archiv der Math. 85 (2005), no. 6, 5…