Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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GENERALIZED BOUNDED ANALYTIC FUNCTIONS IN THE SPACE Hω,p

  • Received : 2005.07.08
  • Published : 2005.09.30
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Abstract

We define a general space $H_{{\omega},p}$ of the Hardy space and improve that Aleman's results to the space $H_{{\omega},p}$. It follows that the multiplication operator on this space is cellular indecomposable and that each invariant subspace contains nontrivial bounded functions.

Keywords