Compactness of the ∂¯ -Neumann Operator on the Intersection of Two Domains Conference Paper uri icon


  • Assume that Ω1 and Ω2 are two smooth bounded pseudoconvex domains in C2 that intersect (real) transversely, and that Ω1∩Ω2 is a domain (i.e. is connected). If the ∂¯ -Neumann operators on Ω1 and on Ω2 are compact, then so is the ∂¯ -Neumann operator on Ω1∩Ω2 . The corresponding result holds for the ∂¯ -Neumann operators on (0,n−1) -forms on domains in Cn .

author list (cited authors)

  • Ayyürü, M., & Straube, E. J.

citation count

  • 1

editor list (cited editors)

  • Baklouti, A., El Kacimi, A., Kallel, S., & Mir, N.

publication date

  • January 1, 2015 11:11 AM