Ole Fredrik Brevig

activity

20172020

most citedA converse to the Schwarz lemma for planar harmonic maps

4 citations · 4 across the 1 of their papers we have counts for

collaborators

7 papers

math.CV2020★ 4 cited

A converse to the Schwarz lemma for planar harmonic maps

Ole Fredrik Brevig, Joaquim Ortega-Cerdà, Kristian Seip

A sharp version of a recent inequality of Kovalev and Yang on the ratio of the $(H^{1})^{*}$ and $H^{4}$ norms for certain polynomials is obtained. The inequality is applied to establ…

math.FA2019

Projecting onto Helson matrices in Schatten classes

Ole Fredrik Brevig, Nazar Miheisi

A Helson matrix is an infinite matrix $A = (a_{m, n})_{m, n \geq 1}$ such that the entry $a_{m, n}$ depends only on the product $mn$ . We demonstrate that the orthogonal projection from…

math.FA2019

Coefficient estimates for $H^{p}$ spaces with $0 < p < 1$

Ole Fredrik Brevig, Eero Saksman

Let $C (k, p)$ denote the smallest real number such that the estimate $∣ a_{k} ∣ \leq C (k, p) ∥ f ∥_{H^{p}}$ holds for every $f (z) = \sum_{n \geq 0} a_{n} z^{n}$ in the $H^{p}$ space of the unit disc. W…

math.FA2019

Norms of composition operators on the $H^{2}$ space of Dirichlet series

Ole Fredrik Brevig, Karl-Mikael Perfekt

We consider composition operators $C_{φ}$ on the Hardy space of Dirichlet series $H^{2}$ , generated by Dirichlet series symbols $φ$ . We prove two different subordin…

math.FA2018

Linear functions and duality on the infinite polytorus

Ole Fredrik Brevig

We consider the following question: Are there exponents $2 < p < q$ such that the Riesz projection is bounded from $L^{q}$ to $L^{p}$ on the infinite polytorus? We are unable to answer the…

math.NT2018

High pseudomoments of the Riemann zeta function

Ole Fredrik Brevig, Winston Heap

The pseudomoments of the Riemann zeta function, denoted $M_{k} (N)$ , are defined as the $2 k$ th integral moments of the $N$ th partial sum of $ζ (s)$ on the critical line. We i…

A converse to the Schwarz lemma for planar harmonic maps

Projecting onto Helson matrices in Schatten classes

Coefficient estimates for Hp spaces with 0<p<1

Norms of composition operators on the H2 space of Dirichlet series

Linear functions and duality on the infinite polytorus

High pseudomoments of the Riemann zeta function

Coefficient estimates for $H^{p}$ spaces with $0 < p < 1$

Norms of composition operators on the $H^{2}$ space of Dirichlet series