SCHATTEN CLASS HANKEL OPERATORS ON THE SEGAL-BARGMANN SPACE AND THE BERGER-COBURN PHENOMENON

We give a complete characterization of Schatten class Hankel operators Hf acting on weighted Segal-Bargmann spaces F2(φ) using the notion of integral distance to analytic functions in Cn and Hörmander's ∂-theory. Using our characterization, for f ∈ L∞ and 1 < p < ∞, we prove that Hf is i...

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Bibliographic Details
Main Authors: Hu, Z. (Author), VIRTANEN, J.A (Author)
Format: Article
Language:English
Published: American Mathematical Society 2022
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Online Access:View Fulltext in Publisher