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Boundedly holomorphic convex domains

Boundedly holomorphic convex domains

A boundedly holomorphic convex domain is a holomorphically convex domain with respect to the algebra of bounded holomorphic functions in the domain.The followings are shown in this paper: In a Riemann domain, a boundedly holomorphic convex domain is a domain of bounded holomorphy.With some restrictions, the converse is true.The spectrum …