Coefficient estimates for $H^p$ spaces with $0<p<1$
Peer reviewed, Journal article
Accepted version
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Date
2020Metadata
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- Institutt for matematiske fag [2352]
- Publikasjoner fra CRIStin - NTNU [37219]
Original version
Proceedings of the American Mathematical Society. 2020, 148 3911-3924. https://doi.org/10.1090/proc/14995Abstract
Let C(k,p) denote the smallest real number such that the estimate |ak| ≤C(k,p)‖f‖Hp holds for every f(z) =∑n≥0anzn in the Hp space of the unit disc. We compute C(2,p)for0<p<1andC(3,2/3), and identify the functions attaining equality in the estimate.