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Compact and subelliptic estimates for the \({\overline{\partial}}\)-Neumann operator on C2 pseudoconvex domains

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In this paper, we will show that Catlin’s property (P) implies regularity for the \({\overline{\partial}}\)-Neumann operator in W 1 on C 2 domains. We will also look at the subelliptic case and derive the natural generalization to C k domains when k ≥  2.

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  1. University of South Dakota, 414 East Clark Street, Vermillion, SD, 57069, USA

    Phillip S. Harrington

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  1. Phillip S. Harrington
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Harrington, P.S. Compact and subelliptic estimates for the \({\overline{\partial}}\)-Neumann operator on C2 pseudoconvex domains. Math. Ann. 337, 335–352 (2007). https://doi.org/10.1007/s00208-006-0037-3

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  • DOI: https://doi.org/10.1007/s00208-006-0037-3

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