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1 results

ORDER BOUNDED WEIGHTED COMPOSITION OPERATORS
Part of
- Special classes of linear operators
ELKE WOLF
Journal:

Journal of the Australian Mathematical Society / Volume 93 / Issue 3 / December 2012

Published online by Cambridge University Press:

09 April 2013, pp. 333-343

Print publication:

December 2012
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Let $\phi $ and $\psi $ be analytic maps on the open unit disk $D$ such that $\phi (D) \subset D$. Such maps induce a weighted composition operator $C_{\phi ,\psi }$ acting on weighted Banach spaces of type $H^{\infty }$or on weighted Bergman spaces, respectively. We study when such operators are order bounded.