4 papers
math.CV2022
On a problem of von Renteln
Arthur A. Danielyan
We discuss the solution of a harmonic analysis problem proposed by M. von Renteln in 1980.
math.CV2021
On a boundary property of Blaschke products
Arthur Danielyan, Spyros Pasias
A Blaschke product has no radial limits on a subset of the unit circle but has unrestricted limit at each point of if and only if is a closed set of mea…
math.CV2020
A proof of Fatou's interpolation theorem
Arthur A. Danielyan
For Fatou's interpolation theorem of 1906 we suggest a new elementary proof.
math.CV2016
Rubel's problem on bounded analytic functions
Arthur A. Danielyan
The paper shows that for any set of Lebesgue measure zero on the unit circle there exists a function such that the radial limits of exist at ea…