On boundedness of a function on a Zalcman domain
Yasuyuki Kobayashi · Proceedings of the Japan Academy Series A Mathematical Sciences · 2001
We consider boundedness of a function defined by an infinite product which is used to study a uniqueness theorem on a plane domain and the point separation problem of a two-sheeted covering Riemann surface. We show that there is such an infinite product that it converges but the function defined by it is not bounded on arbitrary Zalcman domain.