Document Type
Article
Publication Date
2025
DOI
10.11650/tjm/250408
Publication Title
Taiwanese Journal of Mathematics
Pages
41 pp.
Abstract
The space ℓp,α of complex sequences a = (a0, a1,a2,...) for which
[[formula omitted]]
is studied. Each such sequence can be identified with the analytic function with power series
[[formula omitted]]
In this setting, the point evaluation and the difference quotient mappings are shown to be bounded; the cases are identified in which ℓp,α is boundedly contained in ℓr,β. Conditions on the parameters are derived for the analytic functions of ℓp,α to have radial limits almost everywhere on the boundary, and for ℓp,α to be an algebra. Smoothness properties of the boundary function are investigated. Basic properties of multipliers on ℓp,α are established, and conditions on the multiplier norm and coefficient growth are derived. Multipliers having a certain extremal property are described. A discrete version of the Schur Test is obtained, and used to produce a family of examples of multipliers
Rights
© 2025 The Mathematical Society of the Republic of China. All rights reserved.
Included with the kind written permission of the copyright holder and the author.
Original Publication Citation
Acheampong, G., & Cheng, R. (2025). Multipliers on weighted sequence spaces. Taiwanese Journal of Mathematics. Advance online publication. https://doi.org/10.11650/tjm/250408
Repository Citation
Acheampong, Gilbert and Cheng, Raymond, "Multipliers on Weighted Sequence Spaces" (2025). Mathematics & Statistics Faculty Publications. 292.
https://digitalcommons.odu.edu/mathstat_fac_pubs/292