RT Journal Article
T1 Polynomial approach to cyclicity for weighted ℓpA
A1 Seco Forsnacke, Daniel
A1 Téllez, Roberto
AB In previous works, an approach to the study of cyclic functions in reproducing kernel Hilbert spaces has been presented, based on the study of so called optimal polynomial approximants. In the present article, we extend such approach to the (non-Hilbert) case of spaces of analytic functions whose Taylor coefficients are in ℓp(ω), for some weight ω. When ω={(k+1)α}k∈N, for a fixed α∈R, we derive a characterization of the cyclicity of polynomial functions and, when 1 < p < ∞, we obtain sharp rates of convergence of the optimal norms.
PB Springer Nature
SN 1735-8787
YR 2021
FD 2021-01
LK https://hdl.handle.net/10016/32638
UL https://hdl.handle.net/10016/32638
LA eng
NO We acknowledge financial support from the Spanish Ministry of Economy and Competitiveness, through the "Severo Ochoa Programme for Centers of Excellence in R&D" (SEV-2015-0554) and through grant MTM2016-77710-P. We are also grateful to Raymond Cheng and to an anonymous referee for helpful comments and careful reading.
DS e-Archivo
RD 1 sept. 2024