Riemann-Liouville and Weyl fractional integral operators on weighted Morrey spaces
摘要
We extend the mapping properties of the Riemann-Liouville fractional integral operators and the Weyl fractional integral operators to the weighted Morrey spaces. As applications of the main results, we establish the mapping properties of the Riemann-Liouville fractional integral operators and the Weyl fractional integral operators on Morrey spaces with Gauss measure.