Duality for Hardy Spaces in Domains of ℂn and Some Applications
SourceComplex Analysis and Operator Theory
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Let Ω ⊂ ℂn be a bounded, strictly convex domain with C3 boundary and Ω̃ be its dual complement. We prove that (Hp(Ω))″ = Hp(Ω̃), where p > 1 and 1/p + 1/q = 1. As an application of the above results we give the precise description of the dual space of the space of holomorphic functions defined in a special type of domains Ω ⊂ ℂn and which are representable by Carleman integral representation formula. © 2013 Springer Basel.