Topological Genericity and Large Linear Structures in Function Spaces
复变函数
2026-05-28 v1 泛函分析
摘要
We prove that the set of integrable functions on the unit circle for which the analogue of Paley's theorem for fails is residual in . Moreover, we establish algebraic genericity and spaceability results in several Hardy-type function spaces under prescribed conditions on Taylor coefficients, extending phenomena considered in \cite{pandis2024some,NestoridisGenericH1}.
引用
@article{arxiv.2605.27588,
title = {Topological Genericity and Large Linear Structures in Function Spaces},
author = {Christos Pandis},
journal= {arXiv preprint arXiv:2605.27588},
year = {2026}
}