7 papers
Simultaneous polynomial approximation in Beurling-Sobolev spaces via Blaschke products
Stéphane Charpentier, Nicolas Espoullier, Rachid Zarouf
Assuming that as , we establish a lemma on simultaneous polynomial approximation in Orlicz-Beurling-Sobolev spaces . These spaces, endowed with the L…
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…
Bloch functions with wild boundary behaviour in
Stéphane Charpentier, Nicolas Espoullier, Rachid Zarouf
We prove the existence of functions in the Bloch space of the unit ball of with the property that, given any measurable function on the unit s…
Weighted holomorphic polynomial approximation
S. Charpentier, N. Levenberg, F. Wielonsky
For an open set in and a non-vanishing holomorphic function in , in the late 1990's, Pritsker and Varga characterized pairs having the property that…
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…