Hi!
Let be a bounded domain and let be a sequence of functions that are holomorphic on and continuous on . Show that if converges uniformly on , then it converges uniformly on as well.
I think one has to use Montel's theorem, but I dont know...
Hi!
Let be a bounded domain and let be a sequence of functions that are holomorphic on and continuous on . Show that if converges uniformly on , then it converges uniformly on as well.
I think one has to use Montel's theorem, but I dont know...