<p>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.</p>

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Riemann-Liouville and Weyl fractional integral operators on weighted Morrey spaces

  • Kwok-Pun Ho

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.