Revisit to a Theorem of Wogen
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.
KeywordsComposition operator smooth map Bergman space Hardy space Carleson measure boundedness Wogen criterion
Mathematics Subject Classification (2000)Primary 47B33 Secondary 30D55 46E15
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