HOLDER-TYPE BOUNDEDNESS OF RIEMANN–LIOUVILLE TEMPERED FRACTIONAL INTEGRALS

LEDESMA C.E.T.; GUTIERREZ H.C.; RODRIGUEZ J.A. · Journal of Integral Equations and Applications (2025) · DOI: 10.1216/jie.2025.37.115

Resumen

We study the boundedness of the Riemann–Liouville tempered fractional integrals $$ from Lp(a; b) into Hα-1/p[a; b], where α $$, extending and improving our earlier results (Fract. Calc. Appl. Anal. 27:2 (2024), 818–847), to the general case p ≠ 2. We also consider the boundedness of the -Riemann–Liouville tempered fractional integral. © (2025), (Rocky Mountain Mathematics Consortium). All rights reserved.

Instituciones: Universidad Nacional de Trujillo