A Class of Reverse Carleson Measures on Doubling Fock Spaces

We characterize a class of reverse Carleson measures for a family of Fock spaces F ϕ p induced by doubling weights. As an application, we obtain a characterization for invertible Toeplitz operators on F ϕ 2 with positive symbols.

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Veröffentlicht in:	Complex analysis and operator theory 2019-06, Vol.13 (4), p.1795-1809
Hauptverfasser:	Lou, Zengjian, Zhuo, Zhengyuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Mathematics Mathematics and Statistics Operator Theory
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We characterize a class of reverse Carleson measures for a family of Fock spaces F ϕ p induced by doubling weights. As an application, we obtain a characterization for invertible Toeplitz operators on F ϕ 2 with positive symbols.
ISSN:	1661-8254 1661-8262
DOI:	10.1007/s11785-018-0858-6