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Superlogarithmic estimates on pseudoconvex domains and CR manifolds

J. J. Kohn
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Abstract

This paper is concerned with proving superlogarithmic estimates for the operator $\Box_b$ on pseudoconvex CR manifolds and using them to establish hypoellipticity of $\Box_b$ and of the $\bar{\partial}$-Neumann problem. These estimates are established under the assumption that subellipticity degenerates in certain specified ways.

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J. J. Kohn. 2004-10-15. Superlogarithmic estimates on pseudoconvex domains and CR manifolds. https://arxiv.org/abs/math/0410353

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