AbstractWe prove that if D is a simply connected (open) domain in the complex plane C, E is a closed subset of D, and {fn∞n=1} are functions analytic in D such that fn(D)⊆ E for all n, then the compositions Fn(z) = f1ōf2ō⋯ōfn(z) for n = 1, 2, 3,…, converge uniformly in D to a constant function. Some generalizations are also presented
In the paper, we obtain universality theorems for compositions of some classes of operators in multi...
The glueing of (sequentially, pointwise, or uniformly) continuous functions that coincide on the int...
We present some recent results on Hardy spaces of generalized analytic functions on D specifying the...
AbstractWe prove that if D is a simply connected (open) domain in the complex plane C, E is a closed...
Abstract. Given a sequence fj of analytic maps of the open unit disc D into itself, we consider cond...
When ϕ is an analytic map of some domain Ω into itself (in C or CN) the composition operator Cϕ take...
Let G and Ω be two planar domains. We give necessary and sufficient conditions on a sequence (φ n) o...
AbstractLet H(Ω) be the space of analytic functions on a complex region Ω, which is not the puncture...
AbstractIn 1998, Allan, Kakiko, OʼFarrell, and Watson proved a description of the closure (with resp...
17-17We discuss some necessary and sufficient condition of boundedness and compactness of compositio...
We are interested in functions analytic in the unit disc D of the complex plane C with a wild behavi...
We characterize the (essentially) decreasing sequences of positive numbers β = (β n) for which all c...
AbstractLet V be a subset of the complex plane C. Let {fn}n=1∞ be a sequence of self-mappings of V; ...
AbstractFrequently, in applications, a function is iterated in order to determine its fixed point, w...
AbstractWe prove that given two disjoint compact setsK1andK2in the complex plane, without any holes ...
In the paper, we obtain universality theorems for compositions of some classes of operators in multi...
The glueing of (sequentially, pointwise, or uniformly) continuous functions that coincide on the int...
We present some recent results on Hardy spaces of generalized analytic functions on D specifying the...
AbstractWe prove that if D is a simply connected (open) domain in the complex plane C, E is a closed...
Abstract. Given a sequence fj of analytic maps of the open unit disc D into itself, we consider cond...
When ϕ is an analytic map of some domain Ω into itself (in C or CN) the composition operator Cϕ take...
Let G and Ω be two planar domains. We give necessary and sufficient conditions on a sequence (φ n) o...
AbstractLet H(Ω) be the space of analytic functions on a complex region Ω, which is not the puncture...
AbstractIn 1998, Allan, Kakiko, OʼFarrell, and Watson proved a description of the closure (with resp...
17-17We discuss some necessary and sufficient condition of boundedness and compactness of compositio...
We are interested in functions analytic in the unit disc D of the complex plane C with a wild behavi...
We characterize the (essentially) decreasing sequences of positive numbers β = (β n) for which all c...
AbstractLet V be a subset of the complex plane C. Let {fn}n=1∞ be a sequence of self-mappings of V; ...
AbstractFrequently, in applications, a function is iterated in order to determine its fixed point, w...
AbstractWe prove that given two disjoint compact setsK1andK2in the complex plane, without any holes ...
In the paper, we obtain universality theorems for compositions of some classes of operators in multi...
The glueing of (sequentially, pointwise, or uniformly) continuous functions that coincide on the int...
We present some recent results on Hardy spaces of generalized analytic functions on D specifying the...
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