Local extension of boundary holomorphic forms on real hypersurfaces in Cn

LetMbe a real hypersurface in Cn with n 3 and the Levi-form at p ∈M has (q + 1)-positive eigenvalues, 1 q n − 2. We solve one-sided local ¯∂-closed extension problem near p for (0, r)-forms for 1 r q. © 2006 Elsevier Inc. All rights reserved.