Yayınlanmış 1 Ocak 2025 | Sürüm v1
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Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in C<SUP>2</SUP>

  • 1. Fatih Sultan Mehmet Vakif Univ, TR-34445 Istanbul, Turkiye
  • 2. Univ Toledo, Dept Math & Stat, 2801 W Bancroft St, Toledo, OH 43606 USA

Açıklama

We study compactness of Hankel and Toeplitz operators on Bergman spaces of convex Reinhardt domains in C-2 and we restrict the symbols to the class of functions that are continuous on the closure of the domain. We prove that Toeplitz operators as well as the Hermitian squares of Hankel operators are compact if and only if the Berezin transforms of the operators vanish on the boundary of the domain.

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