THE COMPLEX GREEN OPERATOR ON CR-SUBMANIFOLDS OF C-n OF HYPERSURFACE TYPE: COMPACTNESS Academic Article

abstract

• We establish compactness estimates for b on a compact pseudo convex CR-sub manifold of C n of hyper surface type that satisfies property(P). When the sub manifold is orientable, these estimates were proved by A. Raich in 2010 using micro local methods. Our proof deduces the estimates from (a slight extension, when q > 1, of) those known on hyper surfaces via the fact that locally, CR-sub manifolds of hyper surface type are CR-equivalent to a hyper surface. The relationship between two potential theoretic conditions is also clarified. 2012 American Mathematical Society.

authors

• Straube, Emil

published proceedings

• TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

• Straube, E. J.

citation count

• 6

complete list of authors

• Straube, Emil J

publication date

• August 2012

publisher

• American Mathematical Society (AMS)  Publisher

published in

• Transactions of the American Mathematical Society  Journal

keywords

• Compactness
• Complex Green Operator
• Cr-submanifold Of Hypersurface Type
• Partial Derivative(b)
• Property(p)
• Pseudoconvex Cr-subrnanifold

Digital Object Identifier (DOI)

• 10.1090/S0002-9947-2012-05510-3

start page

• 4107

end page

• 4125

volume

• 364

issue

• 8

URL

• http%3A%2F%2Fdx.doi.org%2F10.1090%2Fs0002-9947-2012-05510-3