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

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

2007-01-25

arxiv.org/abs/math/0701753v2

Ann. of Math. (2) 164 (2006), no. 2, 649--713

Mathematics

Classical Analysis and ODEs

65 pages, published version

Scientific paper

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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