Solvability for /9 with regularity at the boundary of a domain f/CC C n for forms of any degree k > 1 was characterized by pseudoconvexity of 0[2 in [ 16]. It is proved here that q-pseudoconvexity suffices to guarantee solvability of forms of degree k _> q + 1. The method relies on the L 2 estimates in and on their Sobolev version.
Regularity at the boundary for $barpartial$ on q-pseudoconvex domains
BARACCO, LUCA;
2005
Abstract
Solvability for /9 with regularity at the boundary of a domain f/CC C n for forms of any degree k > 1 was characterized by pseudoconvexity of 0[2 in [ 16]. It is proved here that q-pseudoconvexity suffices to guarantee solvability of forms of degree k _> q + 1. The method relies on the L 2 estimates in and on their Sobolev version.File in questo prodotto:
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