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math.CV2017
Extensions of bounded holomorphic functions on the tridisk
Lukasz Kosinski, John McCarthy
We study sets in the tridisc that are relatively polynomially convex and have the polynomial extension property. If is one-dimensional, and is either algebraic, or has poly…
math.CV2017
Norm preserving extensions of bounded holomorphic functions
Lukasz Kosinski, John McCarthy
A relatively polynomially convex subset of a domain has the extension property if for every polynomial there is a bounded holomorphic function on that agrees wi…