7 papers
Simultaneous Approximation by Finite Blaschke Products and Bounded Universal Functions
Konstantinos Maronikolakis
This paper complements the work done on simultaneous approximation results in classical Banach spaces, by focusing on approximation by finite Blaschke products. We prove the existe…
Metric projections, zeros of optimal polynomial approximants, and some extremal problems in Hardy spaces
Catherine Bénéteau, Raymond Cheng, Christopher Felder +3
The well-known proof of Beurling's Theorem in the Hardy space , which describes all shift-invariant subspaces, rests on calculating the orthogonal projection of the unit const…
New results on universal Taylor series via weighted polynomial approximation
Stéphane Charpentier, Konstantinos Maronikolakis
We use weighted polynomial approximation to prove the existence of a compact set K with non-empty interior and a function f is dense in the space A(K) of all continuous functions o…
Quantitative incomplete polynomial approximation and frequently universal Taylor series
Stéphane Charpentier, Konstantinos Maronikolakis
Let be a sequence of real numbers in . Using potential theoretic methods, we prove quantitative results - Bernstein-Walsh type theorems - about uniform appro…
Invariance of Abel universality under composition and applications
Stéphane Charpentier, Myrto Manolaki, Konstantinos Maronikolakis
A holomorphic function on the unit disc belongs to the class of Abel universal functions if the family of its dil…
Abel universal functions: boundary behaviour and Taylor polynomials
Stéphane Charpentier, Myrto Manolaki, Konstantinos Maronikolakis
A holomorphic function on the unit disc belongs to the class of Abel universal functions if the family of its dila…
Universal Radial Approximation in Spaces of Analytic Functions
Konstantinos Maronikolakis
Recently, Charpentier showed that there exist holomorphic functions in the unit disk such that, for any proper compact subset of the unit circle, any continuous function $ϕ…