Some boundedness results for ψ -Riemann–Liouville and ψ -Riemann–Liouville tempered fractional integrals in R

Ledesma C.E.T.; A. Rodríguez J.; A. Zuñiga F. · Advances in Operator Theory (2024) · DOI: 10.1007/s43036-023-00310-9

Resumen

In this paper, using Hardy–Littlewood maximal function, we deal with the boundedness of the ψ -Riemann–Liouville in Lebesgue and weighted Lebesgue space in the real line. Moreover, we consider the boundedness of ψ -Riemann–Liouville tempered fractional integrals in weighted Lebesgue space in the real line.

Instituciones: Universidad Nacional de Trujillo