On a theorem of P. L. Uljanov
Abstract
It is shown that if c(n) = o(1), |n| → ∞, and ∑|n| < ∞|Δm c(n)| < ∞, for some integer m ≥ 1, then the series ∑|n| < ∞c(n)eint converges to some f ∈ I.p(T) for any 0 < p < 1/m.
Document Type
Article
DOI
https://doi.org/10.1090/S0002-9939-1984-0728350-0
Keywords
Convergence in L (T)-metric (0 < p < 1) of trigonometric series p
Publication Date
1-1-1984
Recommended Citation
Stanojevic, Vera B. "On a theorem of PL Uljanov." Proceedings of the American Mathematical Society 90, no. 3 (1984): 370-372.
Journal Title
Proceedings of the American Mathematical Society
COinS
