Hankel Operators Between Fock Spaces

Hankel Operators Between Fock Spaces

In this paper, we introduce a function space integrable mean oscillation ( IMO ) on C n . With IMO , for all possible 1 ≤ p , q < ∞ we characterize those symbols f on C n for which the Hankel operators H f and H f ¯ are simultaneously bounded (or compact) from Fock space F α p to Lebesgue space L...

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Veröffentlicht in:Integral equations and operator theory 2018-06, Vol.90 (3), p.1-20, Article 37
Hauptverfasser: Hu, Zhangjian, Wang, Ermin
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Analytic functions
Function space
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Zusammenfassung:In this paper, we introduce a function space integrable mean oscillation ( IMO ) on C n . With IMO , for all possible 1 ≤ p , q < ∞ we characterize those symbols f on C n for which the Hankel operators H f and H f ¯ are simultaneously bounded (or compact) from Fock space F α p to Lebesgue space L α q . As a consequence we obtain all holomorphic functions f for which the Hankel operators H f ¯ are bounded (or compact) from F α p to L α q .
ISSN:0378-620X
1420-8989
DOI:10.1007/s00020-018-2459-1