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arXiv · 1010.3665

Geometric sufficient conditions for compactness of the complex Green operator

Samangi Munasinghe·Emil J. Straube
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Abstract

We establish compactness estimates for $\bar{\partial}_{M}$ on a compact pseudoconvex CR-submanifold $M$ of $\mathbb{C}^{n}$ of hypersurface type that satisfies the (analogue of the) geometric sufficient conditions for compactness of the $\bar{\partial}$-Neumann operator given by the authors earlier. These conditions are formulated in terms of certain short time flows in complex tangential directions.

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Samangi Munasinghe, Emil J. Straube. 2010-10-18. Geometric sufficient conditions for compactness of the complex Green operator. https://arxiv.org/abs/1010.3665

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