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Factorization of functions in subspaces of L^1 and applications to the corona problem

Factorization of functions in subspaces of L^1 and applications to the corona problem

Let D be either a smoothly bounded strictly pseudoconvex domain or else the unit polydisc in C n .Let ∂D denote the Silov boundary of D. We prove two new factorization theorems for functions in some subspaces of L 1 (∂D).First, let f ∈ L 1 (∂D) be orthogonal to …