Boundedness and Continuity of the Riemann-Liouville Fractional Integral in Bochner-Lebesgue Spaces
The Riemann-Liouville fractional integral of order α > 0 is a bounded linear operator from Lp(t0, t1; X) to various function spaces, including Hölder continuous spaces, Bochner-Sobolev spaces, and spaces of bounded mean oscillation.