论文标题
多尺度稀疏统治
Multi-scale sparse domination
论文作者
论文摘要
我们证明了双线性形式稀疏的统治定理,该定理适用于Calderón-Zygmund理论以外的许多多尺度运算符,并且还建立了必要的条件。在应用程序中,我们涵盖了大量的傅立叶乘数,最大功能,方形功能和变化规范运算符。
We prove a bilinear form sparse domination theorem that applies to many multi-scale operators beyond Calderón-Zygmund theory, and also establish necessary conditions. Among the applications, we cover large classes of Fourier multipliers, maximal functions, square functions and variation norm operators.