Sharp estimates for module of continuity of fractional integrals and derivatives

2015/02/22 by E. Ostrovsky, Ostrovsky, E., L. Sirota +1
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1502.06170

arXiv admin note: text overlap with arXiv:1502.00696

arxiv created 2015/02/22 · openalex publication_date 2015/02/22 · arxiv updated 2015/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive the bilateral estimates for the module of continuity of the fractional integrals and derivatives for the functions from the classical Lebesgue-Riesz spaces.

Citations

• Hardy-Littlewood Inequalities for Riesz's Potential : Low bounds estimations for different powers
• Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces
• Lebesgue spaces norm estimates for fractional integrals and derivatives

Related

• Lebesgue spaces norm estimates for fractional integrals and derivatives
• Module of continuity for the functions belonging to the Sobolev-Grand Lebesgue Spaces
• Lebesgue-Riesz norm estimates for fractional Laplace transform
• Continuity of functions belonging to the fractional order Sobolev-Grand Lebesgue Spaces
• Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces