%0 Journal Article
%T Solutions to $ar{partial}$-equations on strongly pseudo-convex domains with $L^p$-estimates
%A Osama Abdelkader
%A Shaban Khidr
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X We construct a solution to the $ar{partial}$-equation on a strongly pseudo-convex domain of a complex manifold. This is done for forms of type $(0,s)$, $sgeq 1 $, with values in a holomorphic vector bundle which is Nakano positive and for complex valued forms of type $(r,s)$, $1leq rleq n$, when the complex manifold is a Stein manifold. Using Kerzman's techniques, we find the $L^p$-estimates, $1leq pleq infty$, for the solution.
%K $L^p$-estimates
%K ${partial}$-equation
%K strongly pseudo-convex
%K smooth boundary
%K complex manifolds.
%U http://ejde.math.txstate.edu/Volumes/2004/73/abstr.html