Weighted Hardy–Littlewood–Sobolev-type inequality for ᴪ Riemann–Liouville fractional integrals

Ledesma C.E.T.; Sousa J.V.C.; Cruz A.M. · Illinois Journal of Mathematics (2023) · DOI: 10.1215/00192082-10346668

Resumen

In this paper, we present a new extension for Hardy–Littlewood-type inequalities using the Riemann–Liouville fractional integral with respect to another function in the weighted Lebesgue space Lp [a; b]. These estimates are very important in the study of fractional differential equations with variational form and in the construction of fractional spaces of Sobolev type.

Instituciones: Universidad Nacional de Trujillo