IDA and Hankel operators on Fock spacesHu, Z. and Virtanen, J. A. (2023) IDA and Hankel operators on Fock spaces. Analysis & PDE, 16 (9). pp. 2041-2077. ISSN 1948-206X
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.2140/apde.2023.16.2041 Abstract/SummaryWe introduce a new space IDA of locally integrable functions whose integral distance to holomorphic functions is finite, and use it to completely characterize boundedness and compactness of Hankel operators on weighted Fock spaces. As an application, for bounded symbols, we show that the Hankel operator Hf is compact if and only if H¯f is compact, which complements the classical compactness result of Berger and Coburn. Motivated by recent work of Bauer, Coburn, and Hagger, we also apply our results to the Berezin–Toeplitz quantization.
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