Blar i Institutt for matematiske fag på tidsskrift "Functiones et Approximatio Commentarii Mathematici"
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Contractive inequalities for Hardy spaces
(Journal article; Peer reviewed, 2018)We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical Hp spaces of the unit disc. We study both coefficient estimates in terms of weighted ℓ 2 sums ... -
A footnote to a theorem Halász
(Journal article; Peer reviewed, 2020)We study multiplicative functions f satisfying |f(n)|≤1 for all n, the associated Dirichlet series F(s):=∑∞n=1f(n)n−s, and the summatory function Sf(x):=∑n≤xf(n). Up to a possible trivial contribution from the numbers ...