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

Dmitry Gorbachev; Sergey Tikhonov; Valery Ivanov

arxiv: 1505.02958 · v1 · pith:PBQTGB72new · submitted 2015-05-12 · 🧮 math.CA

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

Dmitry Gorbachev , Valery Ivanov , Sergey Tikhonov This is my paper

classification 🧮 math.CA

keywords dunkltransforminequalitylogarithmicpittprinciplesharpuncertainty

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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 principle for the Dunkl transform.

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

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