MATHEMATICAL INEQUALITIES & APPLICATIONS, vol.19, no.1, pp.1-14, 2016 (SCI-Expanded)
In this paper, we derive some sufficient conditions for the boundedness of the fractional
maximal operator in the weighted variable exponent Lebesgue spaces Lp(.), where Sawyer’s
type pair of modular conditions are proposed on a weight functions and it is assumed a local logregularity
and a decay condition on the exponent function p(.).