论文标题
卢比奥·弗朗西亚（Rubia de francia）推出定理的准超声酮功能
Rubio de Francia Extrapolation Theorems for Quasi-Monotone Functions
论文作者
论文摘要
我们证明了卢比亚（Rubia de Francia）的外推导致Lebesgue和Grand Lebesgue Spaces用于准单调功能，并具有$ QB_ {β，P} $权重。还已经研究了具有重量类$ qb_ {β，\ infty} $的Lebesgue空间中的外推空间。作为一种应用，我们表征了大勒贝格空间中的准单调函数的耐力平均操作员的界限。
We prove Rubio de Francia extrapolation results in Lebesgue and grand Lebesgue spaces for quasi monotone functions with $QB_{β,p}$ weights. The extrapolation in Lebesgue spaces with the weight class $QB_{β,\infty}$ has also been investigated. As an application, we characterize the boundedness of the Hardy averaging operator for quasi monotone functions in the grand Lebesgue spaces.
