Toeplitz operators with BMO and IMO symbols between Fock spaces

Toeplitz operators with BMO and IMO symbols between Fock spaces

In this paper, given f ∈ B M O , for all possible 0 < p < q < ∞ , we characterize the boundedness (or compactness) of the Toeplitz operators T f from the Fock space F p to F q . With f ∈ I M O (the space of integrable mean oscillation functions), for all possible 0 < q < p < ∞ , we...

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Veröffentlicht in:Archiv der Mathematik 2020-05, Vol.114 (5), p.541-551
1. Verfasser: Wang, Ermin
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Operators
Symbols
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Zusammenfassung:In this paper, given f ∈ B M O , for all possible 0 < p < q < ∞ , we characterize the boundedness (or compactness) of the Toeplitz operators T f from the Fock space F p to F q . With f ∈ I M O (the space of integrable mean oscillation functions), for all possible 0 < q < p < ∞ , we characterize those symbols f for which the Toeplitz operators T f are bounded (or compact) from F p to F q .
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-020-01445-4