Principal parts of operators in the dbar-Neumann problem on strictly pseudoconvex non-smooth domains

Details Principal parts of operators in the dbar-Neumann problem on strictly pseudoconvex non-smooth domains Principal parts of operators in the dbar-Neumann problem on strictly pseudoconvex non-smooth domains

2011-01-21

arxiv.org/abs/1101.4197v1

Mathematics

Complex Variables

Scientific paper

Our main goal is to describe the integral kernel of the dbar-Neumann operator
on certain non-smooth domains, the so-called Henkin-Leiterer domains. We do so
by explicitly constructing an integral kernel which accounts for the main
mapping properties of the operator. We use our calculations to derive $L^p$
estimates.

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