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Weakly Outer Inner Functions
Authors:E S Dubtsov
Institution:(1) Department of Mathematics and Mechanics, St.~Petersburg State University, USA
Abstract:An inner function I in the unit ball BnBnsubCopfn is said to be weakly outer if the closed subspace I H p(B n) is weakly dense in the Hardy space Hp(B n), 0n for all nge1. We also investigate inner functions I such that the subspace IHp(B n) is not weakly dense in Hp(B n).
Keywords:Hardy class  pluriharmonic measure
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