Compactness of the -Neumann Operator on the Intersection of Two Domains
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Assume that 1 and 2 are two smooth bounded pseudoconvex domains in C2 that intersect (real) transversely, and that 12 is a domain (i.e. is connected). If the -Neumann operators on 1 and on 2 are compact, then so is the -Neumann operator on 12 . The corresponding result holds for the -Neumann operators on (0,n1) -forms on domains in Cn .