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 $L^2({\mathbb{R}}^d)$ with the corresponding weights. As an application, we obtain the logarithmic uncertainty princip…