An Extension of Calderón Transfer Principle and its Application to Ergodic Maximal Function

Engineering Educator: Courses Pub Date : 2020-03-31 DOI:10.22377/ajms.v4i2.272

Sakin Demir

引用次数: 0

Abstract

We first prove that the well known transfer principle of A. P. Calderon can be extended to the vector-valued setting and then we apply this extension to vector-valued inequalities for the Hardy-Littlewood maximal function to prove the vector-valued strong type $L^p$ norm inequalities for $1

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Calderón传递原理的推广及其在遍历极大函数中的应用

首先证明了A. P. Calderon的传递原理可以推广到向量值集合，然后将这一推广应用到Hardy-Littlewood极大函数的向量值不等式上，证明了$1

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