Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform
- Fethi Soltani fethi.soltani@fst.utm.tn
- Slim Ben Rejeb slimbenrejeb15@gmail.com
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https://doi.org/10.56754/0719-0646.2502.321Abstract
In this work, by combining Carlson-type and Nash-type inequalities for the Weinstein transform \(\mathscr{F}_W\) on \(\mathbb{K}=\mathbb{R}^{d-1}\times[0,\infty)\), we show Laeng-Morpurgo-type uncertainty inequalities. We establish also local-type uncertainty inequalities for the Weinstein transform \(\mathscr{F}_W\), and we deduce a Heisenberg-Pauli-Weyl-type inequality for this transform.
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