二进极大算子积分不等式尖锐推广的另一种证明及应用
经典分析与常微分方程
2016-04-12 v1
摘要
我们给出了二进极大算子的积分不等式的一个尖锐推广的另一种证明，基于该证明，可以计算该算子关于两个变量的Bellman函数。这最后提及的不等式最初在[3]中被注意到，并且也在某个方向上推广了[7]的结果。
引用
@article{arxiv.1604.02789,
title = {An alternative proof of a sharp generalization of an integral inequality for the dyadic maximal operator and applications},
author = {Eleftherios N. Nikolidakis},
journal= {arXiv preprint arXiv:1604.02789},
year = {2016}
}
备注
In this article we give an alternative proof of partial results of [3] (by using only the linearization setting for the dyadic maximal operator), where it can be also seen applications of these results. Instead in [3] we give a proof of a refinement of the inequality that appears in this paper by using different techniques. We also give here applications in other directions. arXiv admin note: substantial text overlap with arXiv:1502.06002