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Extending bounded holomorphic functions from certain subvarieties of a polydisc

Extending bounded holomorphic functions from certain subvarieties of a polydisc

Let E be a subvariety of the unit polydisc U" = {(z lf .>,z N )eC":\Zi\ < l f l î N } such that E is the zero set of a holomorphic function / on TJ N , i.e., E = Z(f) where Z(f) = {ze U N : …