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Bull. Korean Math. Soc. 2013; 50(1): 185-200
Printed January 31, 2013
https://doi.org/10.4134/BKMS.2013.50.1.185
Copyright © The Korean Mathematical Society.
Weighted composition operators between $H^\infty$ and $BMOA$
Flavia Colonna
George Mason University
We study the bounded and the compact weighted composition operators from the Hardy space $H^\infty$ into $BMOA$ and into $VMOA$, from $BMOA$ into $H^\infty$, as well as from $BMOA$ into the Bloch space. We also provide new boundedness and compactness criteria for the weighted composition operators on $BMOA$ and on $VMOA$.
Keywords: weighted composition operators, $BMOA$, $VMOA$, Bloch space, Hardy space
MSC numbers: Primary 47B38, 30H35, 30H30; Secondary 30H10
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