Lebesgue-Riesz norm estimates for fractional Laplace transform

Abstract

We obtain in this short article the bilateral non-asymptotic estimations for the norm in Lebesgue-Riesz and bilateral Grand Lebesgue spaces of the so-called fractional Laplace integral transform. We give also examples to show the sharpness of these inequalities.

References in corpus (3)

• Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation
• Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces
• On the boundedness of generalized Cesàro operators on Sobolev spaces