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

Fan, Zhijie, Lacey, Michael, Li, Ji, Vempati, Manasa N., Wick, Brett D.

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.

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