Solutions to $ar{partial}$-equations on strongly pseudo-convex domains with $L^p$-estimates

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...

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Bibliographic Details
Main Authors: Osama Abdelkader, Shaban Khidr
Format: Article
Language:English
Published: Texas State University 2004-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/73/abstr.html