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Revisit to a Theorem of Wogen

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Topics in Operator Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 202))

Abstract

In this note we provide a new proof of a theorem of Wogen on the boundedness criterion for composition operators on Hardy space H2(Un) induced by holomorphic self-maps of the unit ball Un, and then generalize it to more general inducing self-maps.

Koo is partially supported by the KRF-2008-314-C00012 and Wang is partially supported by the NSF-10671147 of China.

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Communicated by J.A. Ball.

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© 2010 Birkhäuser Verlag Basel/Switzerland

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Koo, H., Wang, M. (2010). Revisit to a Theorem of Wogen. In: Topics in Operator Theory. Operator Theory: Advances and Applications, vol 202. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0158-0_20

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