HÖLDER-TYPE BOUNDEDNESS OF RIEMANN–LIOUVILLE TEMPERED FRACTIONAL INTEGRALS
We study the boundedness of the Riemann–Liouville tempered fractional integrals 𝕀a+α,σ,𝕀b−α,σ from Lp(a,b) into Hα−1∕p[a,b], where α∈(1p,1+1p), 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 ψ-Riemann–Liouville tempered fractional integral.
Authors
- Jesús Rodríguez (ORCID: https://orcid.org/0000-0001-7070-4781)
- César E. Torres Ledesma (ORCID: https://orcid.org/0000-0002-6889-4982)
- Hernán C. Gutiérrez (ORCID: https://orcid.org/0000-0001-8947-5368)
Publication Details
- Journal
- Journal of Integral Equations and Applications
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1216/jie.2025.37.115
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00