Abstract: Let , where and are two smooth bounded pseudoconvex domains in such that Assume that the -Neumann operator of is compact and the interior of the Levi-flat points in the boundary of is not empty (in the relative topology). Then we show that the Hankel operator on with symbol is compact for every but the -Neumann operator on is not compact.
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Mehmet Çelik Affiliation:
Department of Mathematics and Information Sciences, University of North Texas at Dallas, 7300 Houston School Road, Dallas, Texas 75241
Email:
Mehmet.Celik@unt.edu
Sönmez Şahutoğlu Affiliation:
Department of Mathematics & Statistics, University of Toledo, 2801 West Bancroft Street, Toledo, Ohio 43606
Email:
sonmez.sahutoglu@utoledo.edu