Lebesgue spaces norm estimates for fractional integrals and derivatives

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.

References in corpus (8)

• Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation
• Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces
• Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces
• Weight Hardy-Littlewood Inequalities for Different Powers
• Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
• The Riesz Capacity in Metric Spaces
• Hardy-Littlewood Inequalities for Riesz's Potential : Low bounds estimations for different powers
• Cesaro-Hardy operators on bilateral grand Lebesgue spaces

Cited by in corpus (1)

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