Lebesgue-Riesz norm estimates for fractional Laplace transform

2014/05/07 by E. Ostrovsky, Ostrovsky, E., L. Sirota +1
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1405.1485

openalex publication_date 2014/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Integral Operators in Bilateral Grand Lebesgue Spaces
• Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces

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• Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces
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