Weighted composition operators on the Bloch space

Weighted composition operators on the Bloch space

We characterise bounded and compact weighted composition operators on the Bloch space and the little Bloch space. The results generalise the known corresponding results on composition operators and pointwise multipliers on the Bloch space and the little Bloch space.

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2001-04, Vol.63 (2), p.177-185
Hauptverfasser: Ohno, Shûichi, Zhao, Ruhan
Format: Artikel
Sprache:eng
Schlagworte:
Composition
Operators
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Beschreibung
Zusammenfassung:We characterise bounded and compact weighted composition operators on the Bloch space and the little Bloch space. The results generalise the known corresponding results on composition operators and pointwise multipliers on the Bloch space and the little Bloch space.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700019250