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arxiv: 1405.1485 · v1 · pith:UFPLLCMInew · submitted 2014-05-07 · 🧮 math.FA

Lebesgue-Riesz norm estimates for fractional Laplace transform

classification 🧮 math.FA
keywords bilateralfractionallaplacelebesgue-riesznormtransformarticleestimates
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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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