夏普皮特不等式和贝克纳的对数不确定性原理的温斯坦变换

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Pseudo-Differential Operators and Applications Pub Date : 2023-10-28 DOI:10.1007/s11868-023-00565-z

Minggang Fei, Jiali Zhou

引用次数: 0

摘要

本文证明了韦恩斯坦变换的尖锐皮特不等式。作为应用，建立了Weinstein变换的Beckner对数不确定性原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sharp Pitt’s inequality and Beckner’s logarithmic uncertainty principle for the Weinstein transform

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.

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来源期刊

Journal of Pseudo-Differential Operators and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.20

自引率

9.10%

发文量

期刊介绍： The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.