V. Ivanov

most citedSharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in

L^{2}

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math.CA2019

Sharp approximation theorems and Fourier inequalities in the Dunkl setting

D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov

In this paper we study direct and inverse approximation inequalities in $L^{p} (R^{d})$ , $1 < p < \infty$ , with the Dunkl weight. We obtain these estimates in their sharp form…

math.CA2015★ 2 cited

Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$

Dmitry Gorbachev, Valery Ivanov, Sergey Tikhonov

We prove sharp Pitt's inequality for the Dunkl transform in $L^{2} (R^{d})$ with the corresponding weights. As an application, we obtain the logarithmic uncertainty princip…

Sharp approximation theorems and Fourier inequalities in the Dunkl setting

Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in L2

Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$