CONTINUOUS AND COMPACTNESS PROPERTIES FOR TEMPERED FRACTIONAL INTEGRALS

Torres Ledesma C.E.; Bonilla M.M.; Rodríguez J.A.; Gutierrez H.C. · Rocky Mountain Journal of Mathematics (2025) · DOI: 10.1216/rmj.2025.55.1735

Resumen

Our aim is to deal with Fréchet–Kolmogorov compactness of Riemann–Liouville tempered fractional integrals on Lebesgue spaces and other related compactness properties associated to the behavior of α ∈(0,1). Moreover, we consider some boundedness properties for the ψ-tempered fractional integrals on Lebesgue spaces. © Rocky Mountain Mathematics Consortium

Instituciones: Universidad Nacional de Trujillo