New York Journal of Mathematics
Volume 23 (2017) 1265-1272

  

Timothy G. Clos

Compactness of Hankel operators with conjugate holomorphic symbols on complete Reinhardt domains in C2

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Published: September 19, 2017
Keywords: Hankel operator, compactness, conjugate holomorphic symbol, complete Reinhardt domain
Subject: 32A07 (primary); 47B35 (secondary)

Abstract
In this paper we characterize compact Hankel operators with conjugate holomorphic symbols on the Bergman space of bounded convex Reinhardt domains in C2. We also characterize compactness of Hankel operators with conjugate holomorphic symbols on smooth bounded pseudoconvex complete Reinhardt domains in C2.

Author information

Department of Mathematics and Statistics, The University of Toledo, 2801 West Bancroft Street, Toledo, OH 43606
timothy.clos@utoledo.edu