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Sharp Pitt’s inequality and Beckner’s logarithmic uncertainty principle for the Weinstein transform
Journal of Pseudo-Differential Operators and Applications ( IF 1.1 ) Pub Date : 2023-10-28 , DOI: 10.1007/s11868-023-00565-z Minggang Fei , Jiali Zhou
中文翻译:
夏普皮特不等式和贝克纳韦恩斯坦变换的对数不确定性原理
更新日期:2023-10-30
Journal of Pseudo-Differential Operators and Applications ( IF 1.1 ) Pub Date : 2023-10-28 , DOI: 10.1007/s11868-023-00565-z Minggang Fei , Jiali Zhou
In this paper, we prove the sharp Pitt’s inequality for the Weinstein transform. As an application, the Beckner’s logarithmic uncertainty principle for the Weinstein transform is established.
中文翻译:
夏普皮特不等式和贝克纳韦恩斯坦变换的对数不确定性原理
在本文中,我们证明了韦恩斯坦变换的尖锐皮特不等式。作为应用,建立了韦恩斯坦变换的贝克纳对数不确定性原理。