Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899410 | Journal of Mathematical Analysis and Applications | 2018 | 14 Pages |
Abstract
We consider generalizations of classical function spaces by requiring that a holomorphic in Ω function satisfies some property when we approach from Ω, not the whole boundary âΩ, but only a part of it. These spaces endowed with their natural topology are Fréchet spaces. We prove some generic non-extendability results in such spaces and generic nowhere differentiability on the corresponding part of âΩ.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dimitris Lygkonis, Vassilis Nestoridis,