论文标题
Besov空间,Schatten的课程和Riesz的换向器与Neumann Laplacian相关
Besov Space, Schatten Classes And Commutators Of Riesz Transforms Associated With The Neumann Laplacian
论文作者
论文摘要
本文对$ \ Mathbb r^n $上的Neumann Laplacian操作员$Δ_n$相关的Riesz转换换向器进行了更深入的研究。沿着Janson-Wolff和Rochberg-Semmes建立的Riesz Transform换向器的奇异价值估算线,我们为这些换向器建立了一系列Schatten-$ P $类表征。
This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator $Δ_N$ on $\mathbb R^n$. Along the line of singular value estimates for Riesz transform commutators established by Janson--Wolff and Rochberg--Semmes, we establish a full range of Schatten-$p$ class characterization for these commutators.