Multiplicative Linear Functionals and Ring Homorphisms of H

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Journal Title, Volume, Page: 
Journal of Interdisciplinary Mathematics Volume 10, Issue 2, 2007, pages 221-228
Year of Publication: 
2007
Authors: 
Mahmud Masri
Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine
Preferred Abstract (Original): 

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.