Superlogarithmic estimates on pseudoconvex domains and CR manifolds

J. J. Kohn

Superlogarithmic estimates on pseudoconvex domains and CR manifolds

Complex Variables 2007-05-23 v1

Authors: J. J. Kohn

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.

Keywords

operator theory and elliptic operators gradient estimates elliptic partial differential equations

Cite

@article{arxiv.math/0410353,
  title  = {Superlogarithmic estimates on pseudoconvex domains and CR manifolds},
  author = {J. J. Kohn},
  journal= {arXiv preprint arXiv:math/0410353},
  year   = {2007}
}

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36 pages published version

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