Cousin and Zero Set Problems in Polydomains |
Common terms and phrases
analytic analytic curves bounded holomorphic function compact conformal map convex function COUSIN AND ZERO Cousin problem denote disjoint Jordan curves dm(w exp g f₂ f₂ rw fe H finitely function f g₁ g₁(z g₂ h(w₁ induced problem integer invertible element k₁ k₂ Let f log|F Multiplicative Cousin problem n-harmonic functions n-harmonic majorant N-subharmonic function N(Un N₁ neighborhood nice boundaries open covering Poisson kernel polycube polydisc product of annuli Proof Reg₁ Rudin's theorem sequence SERGIO EDUARDO ZARANTONELLO Stout strongly convex function subharmonic Suppose theorem 3.6 thesis U¹-¹ V₁ vector space w₁ Walter Rudin Weierstrass preparation theorem X₁ X₂ y₁ z₁ z₂ zero set ZERO SET PROBLEMS zeros as f α α α α β απ δ Ω ΘΩ ΧΩ ΩΙ ΩΧ