Schatten class of Berezin transform on Fock spaces

The Schatten norm for the nuclear operator B*?B? was estimated from both sides. Here B? : L2 ? ? L2 ? is the Berezin transform regarding the Fock spaces in the plane. Also, we found the norm for the Berezin transform in case of unweighted Lebesgue spaces.

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Veröffentlicht in:Filomat 2022, Vol.36 (9), p.3189-3196
1. Verfasser: Vujadinovic, Djordjije
Format: Artikel
Sprache:eng
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Zusammenfassung:The Schatten norm for the nuclear operator B*?B? was estimated from both sides. Here B? : L2 ? ? L2 ? is the Berezin transform regarding the Fock spaces in the plane. Also, we found the norm for the Berezin transform in case of unweighted Lebesgue spaces.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2209189V