Let Ω and Π be two finitely connected hyperbolic domains in the complex plane ℂ and let R(z, Ω) denote the hyperbolic radius of Ω at z and R(w, Π) the hyperbolic radius of Π at w. We consider functions f that are analytic in Ω and such that all values f(z) lie in the domain Π. This set of analytic functions is denoted by A(Ω, Π). We prove among other things that the quantities equation presented are finite for all n ∈ ℕ if and only if ∂Ω and ∂Π do not contain isolated points
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group. For a plane domain we study ...
We consider certain inequalities among the Apollonian metric, the Apollonian inner metric, the $j$ m...
We derive sufficient conditions for the unique solvability of two boundary value problems for factor...
Let Ω and Π be two finitely connected hyperbolic domains in the complex plane ℂ and let R(z, Ω) deno...
In the preceding chapters we considered punishing factors for simply connected domains, except the c...
Let Ω and ∏ be two simply connected domains in the complex plane ℂ which are not equal to the whole ...
Let Ω and Π be two hyperbolic simply connected domains in the extended complex plane C̄ = C ∪ {∞}. W...
Let Ω and ∏ be two simply connected proper subdomains of the complex plane ℂ. We are concerned with ...
As we have seen in Chapter 6 it is a very difficult task to find sharp punishing factors or substitu...
Theorems due to Z. Nehari and L. Ahlfors give sufficient conditions for the univalence of an analyti...
After a colloquium talk of the second author on estimates of the form f(n)(z) /n! ≤ Cc (Ω, Π) (λΩ(z)...
\begin{itemize} \item \textit{Chapter I.} In this chapter, finite type domains with hyperbolic orbit...
We shall prove (a slightly more general version of) the following theorem: Let Φ be analytic in the ...
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group. For a plane domain we study ...
We consider certain inequalities among the Apollonian metric, the Apollonian inner metric, the $j$ m...
We derive sufficient conditions for the unique solvability of two boundary value problems for factor...
Let Ω and Π be two finitely connected hyperbolic domains in the complex plane ℂ and let R(z, Ω) deno...
In the preceding chapters we considered punishing factors for simply connected domains, except the c...
Let Ω and ∏ be two simply connected domains in the complex plane ℂ which are not equal to the whole ...
Let Ω and Π be two hyperbolic simply connected domains in the extended complex plane C̄ = C ∪ {∞}. W...
Let Ω and ∏ be two simply connected proper subdomains of the complex plane ℂ. We are concerned with ...
As we have seen in Chapter 6 it is a very difficult task to find sharp punishing factors or substitu...
Theorems due to Z. Nehari and L. Ahlfors give sufficient conditions for the univalence of an analyti...
After a colloquium talk of the second author on estimates of the form f(n)(z) /n! ≤ Cc (Ω, Π) (λΩ(z)...
\begin{itemize} \item \textit{Chapter I.} In this chapter, finite type domains with hyperbolic orbit...
We shall prove (a slightly more general version of) the following theorem: Let Φ be analytic in the ...
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group. For a plane domain we study ...
We consider certain inequalities among the Apollonian metric, the Apollonian inner metric, the $j$ m...
We derive sufficient conditions for the unique solvability of two boundary value problems for factor...