负指数 Hardy 型不等式的改进及其在 R 上 Muckenhoupt 权重的精确应用
泛函分析
2018-07-24 v3
摘要
我们证明了一个精确的积分不等式，它推广了熟知的负指数 Hardy 型积分不等式。我们还针对 R 上的 Muckenhoupt 权重给出了两个方向的精确应用。本工作改进了文献 [9] 中出现的结果。
引用
@article{arxiv.1804.00840,
title = {A refinement of a Hardy type inequality for negative exponents, and sharp applications to Muckenhoupt weights on R},
author = {Eleftherios N. Nikolidakis and Theodoros Stavropoulos},
journal= {arXiv preprint arXiv:1804.00840},
year = {2018}
}
备注
In this article we refine the Hardy inequality that appears in [9] by inserting the $L^1$ norm of the related function as a variable. By using this we refine the results for the Muckenhoupt weights on R even further