关于熵与Orlicz端点估计及对偶Muckenhoupt-Wheeden估计
On Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimate
- Universidad de Málaga（马拉加大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文证明了Rahm熵极大函数与Orlicz极大函数的不可比性，并通过转移原理改进对偶Muckenhoupt-Wheeden估计中极大函数的选择。
AI中文摘要：
本文建立了Rahm引入的某些Rahm熵极大函数与在Calderón-Zygmund算子定量端点估计中出现的Orlicz极大函数之间的不可比性。此外，重新审视了Lerner、Ombrosi和Pérez引入的对偶Muckenhoupt-Wheeden双权估计，通过双权端点不等式的转移原理，改进了不等式左侧极大函数的可能选择。
英文摘要：
In this paper the incomparability of certain Rahm entropy maximal functions introduced by Rahm and Orlicz maximal functions that arise in quantitative endpoint estimates for Calderón-Zygmund operators is established. Also the dual Muckenhoupt-Wheeden two-weight estimates introduced by Lerner, Ombrosi and Pérez are revisited, improving the possible choices for the maximal function in the left hand side of the inequality, via a transference principle from two-weight endpoint inequalities.
