English

Metrically thin singularities of integrable CR functions

Complex Variables 2007-05-23 v1

Abstract

In this article, we consider metrically thin singularities A of the tangential Cauchy-Riemann operator on smoothly embedded Cauchy-Riemann manifolds M. The main result states removability within the space of locally integrable functions on M under the hypothesis that the (dim M-2)-dimensional Hausdorff volume of A is zero and that the CR-orbits of M and M-A are comparable.

Keywords

Cite

@article{arxiv.math/9906056,
  title  = {Metrically thin singularities of integrable CR functions},
  author = {Joel Merker and Egmont Porten},
  journal= {arXiv preprint arXiv:math/9906056},
  year   = {2007}
}