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The \bar\partial_b-complex on decoupled boundaries in C^n

Alexander Nagel·Elias Stein
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Abstract

The purpose of this paper is to prove optimal estimates for solutions of the Kohn-Laplacian for certain classes of model domains in several complex variables. This will be achieved by applying a type of singular integral operator whose novel features (related to product theory and flag kernels) differ essentially from the more standard Calderon-Zygmund operators that have been used in these problems hitherto.

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Alexander Nagel, Elias Stein. 2007-05-14. The \bar\partial_b-complex on decoupled boundaries in C^n. https://arxiv.org/abs/math/0701753

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