Abstract
We derive integral representations for $(0,q)$-forms, $q\ge1$, on nonsmooth strictly pseudoconvex domains, the Henkin–Leiterer domains. A $(0,q)$-form, $f$ is written in terms of integral operators acting on $f$, $\bar{\partial} f$, and $\bar{\partial}^{\ast} f$. The representation is applied to derive $L^{\infty}$ estimates.
Citation
Dariush Ehsani. "Integral representations on nonsmooth domains." Illinois J. Math. 53 (4) 1127 - 1156, Winter 2009. https://doi.org/10.1215/ijm/1290435343
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