- Monday, April 30, 2007
- Multiplicative linear functionals and ring homomorphisms of ...
- Published at:Journal of Interdisciplinary Mathematics
please see www.connectjournals.com/jim
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 .