Geometric Sufficient Conditions for Compactness of the Complex Green Operator Academic Article

abstract

• We establish compactness estimates for M on a compact pseudoconvex CR-submanifold M of n of hypersurface type that satisfies the (analogue of the) geometric sufficient conditions for compactness of the -Neumann operator given in (Straube in Ann. Inst. Fourier, 54(3):699-710, 2004;Munasinghe and Straube in Pac. J. Math., 232(2):343-354 2007). These conditions are formulated in terms of certain short time flows in complex tangential directions. Mathematica Josephina, Inc. 2011.

authors

• Straube, Emil

published proceedings

• JOURNAL OF GEOMETRIC ANALYSIS

author list (cited authors)

• Munasinghe, S., & Straube, E. J.

citation count

• 7

complete list of authors

• Munasinghe, Samangi||Straube, Emil J

publication date

• October 2012

publisher

• Springer Nature  Publisher

published in

• Journal of Geometric Analysis  Journal

keywords

• Complex Green Operator
• Complex Tangential Flow
• Cr-submanifold Of Hypersurface Type
• Geometric Conditions For Compactness
• Partial Derivative(b)

Digital Object Identifier (DOI)

• 10.1007/s12220-011-9226-8

URI

• https://hdl.handle.net/1969.1/ETD-TAMU-1809

start page

• 1007

end page

• 1026

volume

• 22

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs12220-011-9226-8