Besov Space, Schatten Classes, and Commutators of Riesz Transforms Associated with the Neumann Laplacian

Abstract

This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator ΔN on Rn. Along the line of singular value estimates for Riesz transform commutators established by Janson and Wolff and Rochberg and Semmes, we establish a full range of Schatten-p class characterization for these commutators.

Locations

• The Michigan Mathematical Journal - View
• arXiv (Cornell University) - View - PDF