Metrically thin singularities of integrable CR functions

Details Metrically thin singularities of integrable CR functions Metrically thin singularities of integrable CR functions

1999-06-09

arxiv.org/abs/math/9906056v1

Mathematics

Complex Variables

Scientific paper

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.

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