Blar i NTNU Open på forfatter "Saksman, Eero"
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Coefficient estimates for $H^p$ spaces with $0<p<1$
Brevig, Ole Fredrik; Saksman, Eero (Peer reviewed; Journal article, 2020)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 ... -
Linear space properties of H^p spaces of Dirichlet series
Bondarenko, Andrii; Brevig, Ole Fredrik; Saksman, Eero; Seip, Kristian (Journal article; Peer reviewed, 2019)We study H p spaces of Dirichlet series, called H p , for the range 0 < p < ∞. We begin by showing that two natural ways to define H p coincide. We then proceed to study some linear space properties of H p . More specifically, ... -
Pseudomoments of the Riemann zeta function
Bondarenko, Andrii; Brevig, Ole Fredrik; Saksman, Eero; Seip, Kristian; Zhao, Jing (Journal article; Peer reviewed, 2018)The 2kth pseudomoments of the Riemann zeta function ζ ( s ) are, following Conrey and Gamburd, the 2 k th integral moments of the partial sums of ζ ( s ) on the critical line. For fixed k > 1 / 2 , these moments are known ... -
Riesz projection and bounded mean oscillation for Dirichlet series
Konyagin, Sergei; Queffelec, Herve; Saksman, Eero; Seip, Kristian (Peer reviewed; Journal article, 2022)We prove that the norm of the Riesz projection from L∞(Tn) to Lp(Tn) is 1 for all n≥1 only if p≤2, thus solving a problem posed by Marzo and Seip in 2011. This shows that Hp(T∞) does not contain the dual space of H1(T∞) ...