An-Najah National University



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  • Monday, April 30, 2007
  • Multiplicative linear functionals and ring homomorphisms of ...
  • Published at:Journal of Interdisciplinary Mathematics
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    The Hardy-Orlicz space  is the space of all analytic functions on the open unit disk  such that the subharmonic function  has a harmonic majorant on  where  is a modulus function.  is the space of all  such that  has a quasi-bounded harmonic majorant on . Under certain constraints on   we show that multiplicative linear functionals on  are exactly point evaluation and ring homomorphisms of  are just composition operators.Examples of such  are and   .This generalizes the  special case where  is the well known Smirnov class .

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Mahmud Ilayyan Mohammad El-Masri
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