Subalgebras of Orlicz spaces and related algebras of analytic functions
نویسنده
چکیده
An Orlicz function ~0 is a real-valued function defined as [0, ~o) satisfying the condition (a) ~0 is non-decreasing (b) (p(0)=0 and ~o is continuous at 0 and (c) (o is not identically zero. In addition ~o satisfies the A2-condition at ~o provided for some C and x (1.0.1) ~0(2x) <_c q , ( x ) x >x or equivalently, for some C (1.0.2) q~(Zx) ~ C( (p (x )+ l ) 0 <_x <o~. I f ~0 satisfies the A.,-condition at ~o then if (S, ~, v) in a finite measure space we may define the Orlicz space L o = L o ( S , r,, v) to be the set of all complex-valued ~;-measurable functions f an S such that
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تاریخ انتشار 2006