8 citations · 48 across the 29 of their papers we have counts for
5 papers · 2 filters
Localized versions of function spaces and generic results
Dimitris Lygkonis, Vassilis Nestoridis
We consider generalizations of classical function spaces by requiring that a holomorphic in function satisfies some property when we approach from , not the whole boundary,…
Non-extendability of holomorphic functions with bounded or continuously extendable derivatives
D. Moschonas, V. Nestoridis
We consider the spaces and containing all holomorphic functions on an open set , such that all derivatives $f^{(…
Jordan domains with a rectifiable arc in their boundary
V. Liontou, V. Nestoridis
We show that if an open arc J of the boundary of a Jordan domain is rectifiable, then the derivative ' of the Riemann map from the open unit disk D onto…
A remark on projective limits of function spaces
Aggeliki Kampoukou, Vassili Nestoridis
Let Omega subset of C^d be an open set and Km, m = 1, 2, . . . an exhaustion of Omega by compact subsets of Omega. We set Omega_m = int(Km) and let Xm(Omega_m) be a topological spa…
On Bergman type spaces of holomorphic functions and the density, in these spaces, of certain classes of singular functions
T. Hatziafratis, K. Kioulafa, V. Nestoridis
We consider Bergman spaces and variations of them in one or several complex variables. For some domains we show that in these spaces the generic function is totally unbounded and h…