Geometric sufficient conditions for compactness of the complex Green operator

Details Geometric sufficient conditions for compactness of the complex Green operator Geometric sufficient conditions for compactness of the complex Green operator

2010-10-18

arxiv.org/abs/1010.3665v2

Mathematics

Complex Variables

19 pages

Scientific paper

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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