E. Ostrovsky, L. Sirota
Abstract
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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.
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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.
Key concepts: Lebesgue's number lemma, Laplace transform, Lp space, Lebesgue integration, Mathematics, Riesz transform, Norm (philosophy), Singular integral operators of convolution type