In this paper, applying some properties of variable exponent analysis, we first dwell on Adams and Spanne type estimates for a class of fractional type integral operators of variable orders, respectively and then, obtain variable exponent generalized Campanato estimates for the corresponding commutators on the vanishing generalized Morrey spaces $VL_{ \Pi }^{ p\left( \cdot \right) ,w\left( \cdot \right) }\left( E\right) $ with variable exponent $p(\cdot )$ and bounded set $E$

Categories: math.AP math.FA

A characterization of rough fractional type integral operators and Campanato estimates for their commutators on the variable exponent vanishing generalized Morrey spaces