Characterization of weights for the variable fractional maximal operator and weighted inequalities for variable fractional rough operators

Rodrigo M. Pastrana, M. Silvina Riveros, Raúl E. Vidal

We characterize the class of weights related to the boundedness of variable fractional maximal operator $M_{{\hat{I}}^2(\cdot ),r(\cdot )}$ on variable Lebesgue spaces. This extend previously…