Integral representations on non-smooth domains

Details Integral representations on non-smooth domains Integral representations on non-smooth domains

2009-03-24

arxiv.org/abs/0903.4081v1

Mathematics

Complex Variables

24 pages

Scientific paper

We derive integral representations for $(0,q)$-forms, $q\ge1$, on non-smooth
strictly pseudoconvex domains, the Henkin-Leiterer domains. A $(0,q)$-form, $f$
is written in terms of integral operators acting on $f$, $\mdbar f$, and
$\mdbar^{\ast} f$. The representation is applied to derive $L^{\infty}$
estimates.

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