Lebesgue spaces norm estimates for fractional integrals and derivatives

2015/02/03 by E. Ostrovsky, Ostrovsky, E., L. Sirota +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #math.FA

paper · pdf · doi:10.48550/arxiv.1502.00696

arxiv created 2015/02/03 · openalex publication_date 2015/02/03 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the problem estimation of classical Lebesgue-Riesz and Grand Lebesgue Norm for the fractional integrals and derivatives for the functions from the classical Lebesgue-Riesz spaces as well as from the modified Besov's 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

Cited by

• Sharp estimates for module of continuity of fractional integrals and derivatives

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