A_(p)(φ)权,拟微分算子及其交换子

该文探讨了象征函数属于Hoormander类S_(ρ,δ)^(m)(R^(n))的拟微分算子T及其与BMO函数b生成的交换子[b,T]在加权L^(p)空间L_(w)^(p)(R^(n))上的有界性问题,其中权w属于A_(p)(φ),它包含了经典的Muckenhoupt权A_(p)(R^(n)).

一类Marcinkiewicz积分的L^(p)有界性

本文利用Fourier变换方法,在核函数缺乏光滑性的条件下,考虑Marcinkiewicz积分的L^2和加权L^p有界性,改进了[3]和[9]中的结论.

Weighted High Order Poincaré Inequalities on Stratified Lie Groups

In this paper,we focus on studying weighted Poincare inequalities on stratified Lie groups.We derive various Poincaréinequalities in the case 1<p=q<∞ in the high order Sobolev space Wm,p.We derive several Poincare inequalities that complement existing results,which have only been proved for the case 1<p<q<∞.