@article{58005726bda6465ebf34df89a17f958e,
title = "Sharp Ces{\`a}ro Convergence in the Hardy Spaces Revisited",
abstract = "For any f∈ Hp(D) (p> 0) , the Hardy space over the unit disk, we characterize completely the triple (α, p, q) ∈ (- 1 , ∞) × (0 , ∞) 2 such that the Ces{\`a}ro partial sum σnαf converges in norm in Hq(D) , and in the Bergman space Laq(D) , respectively. This extends recent results of McNeal–Xiong and of Park–Zhao–Zhu, and complements a classical theorem of Hardy-Littlewood in 1934.",
keywords = "Bergman space, Ces{\`a}ro polynomial, Hardy space, Norm convergence, Taylor polynomial",
author = "Bonan Chen and Guozheng Cheng and Xiang Fang and Chao Liu and Tao Yu",
note = "Publisher Copyright: {\textcopyright} 2023, Mathematica Josephina, Inc.",
year = "2023",
month = sep,
doi = "10.1007/s12220-023-01354-2",
language = "English",
volume = "33",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer New York",
number = "9",
}