具有无穷多尖锐缺失项的加权Hardy不等式

Hiroshi Ando, T. Horiuchi, E. Nakai
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引用次数: 10

摘要

本文的主要目的是通过添加无穷多个尖锐的新缺失项来改进经典加权哈代型不等式。证明的关键是构造系数含慢增函数的常微分方程的一组正解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Weighted Hardy inequalities with infinitely many sharp missing terms
The main purpose of this article is to improve classical weighted Hardy type inequalities by adding infinitely many sharp new missing terms. The key of proof is to construct a family of positive solutions for ordinary differential equations involving slowly increasing functions in their coefficients.
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