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Metrically thin singularities of integrable CR functions

Joel Merker·Egmont Porten
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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.

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Joel Merker, Egmont Porten. 1999-06-09. Metrically thin singularities of integrable CR functions. https://arxiv.org/abs/math/9906056

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