仿射连接的一些哈代和雷利希类型不等式

IF 0.9 3区数学 Q2 MATHEMATICS Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-08-26 DOI:10.1007/s11868-024-00639-6

Pengyan Wang, Huiting Chang

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引用次数: 0

摘要

本文研究了完整非紧密黎曼流形上仿射连接的哈代不等式的各种形式，包括两重哈代不等式、改进哈代不等式、雷里希不等式、哈代-庞加莱不等式和海森堡-保利-韦勒不等式。我们的结果改进了许多以前已知的结果，并将其作为特例。

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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Some Hardy and Rellich type inequalities for affine connections

In this article we study various forms of the Hardy inequality for affine connections on a complete noncompact Riemannian manifold, including the two-weight Hardy inequality, the improved Hardy inequality, the Rellich inequality, the Hardy–Poincaré inequality and the Heisenberg–Pauli–Weyl inequality. Our results improve and include many previously known results as special cases.

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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.