SOME INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES AND THEIR REMARKS

Abstract

Some inequalities for fractional integral operators on Morrey spaces are investigated by many researchers. In this paper, we extend and generalize some of them. More precisely, we show some inequalities concerning with g·Tρf, where Tρ is the generalized fractional integral operator and f and g are functions which belong to generalized Morrey spaces. We also compare our results and present counterexamples showing that our results are sharp.