English

Bounds of Riesz Transforms on $L^p$ Spaces for Second Order Elliptic Operators

Analysis of PDEs 2007-05-23 v1 Classical Analysis and ODEs

Abstract

For any fixed p>2p>2, a necessary and sufficient condition is obtained for the boundedness of the Riesz transforms associated with second order elliptic operators with real, symmetric, bounded measurable coefficients.

Keywords

Cite

@article{arxiv.math/0410475,
  title  = {Bounds of Riesz Transforms on $L^p$ Spaces for Second Order Elliptic Operators},
  author = {Zhongwei Shen},
  journal= {arXiv preprint arXiv:math/0410475},
  year   = {2007}
}

Comments

To appear in Annales de L'Institut Fourier (Grenoble)