Ole Fredrik Brevig

activity

20132026

most citedThe multiplicative Hilbert matrix

57 citations · 299 across the 47 of their papers we have counts for

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7 papers · 1 filter

math.FA2026

Extremals for linear functionals on $H^{p}$ are outer when $0 < p < 1$

Ole Fredrik Brevig, Øistein Søvik

Let $L$ be a nontrivial bounded linear functional on the Hardy space $H^{p}$ of the unit disc. We prove that if $0 < p < 1$ and if $f$ in the unit sphere of $H^{p}$ satisfies $L (f) = ∥ L ∥$ ,…

math.FA2026

Contractivity of Rudin's diagonal restriction operator for $H^{p}$ of the polydisc

Ole Fredrik Brevig, Javier Gómez-Serrano, Joaquim Ortega-Cerdà +1

We establish that Rudin's diagonal restriction operator is contractive from the Hardy space $H^{p}$ of the bidisc to the Bergman space $A^{p}$ of the disc for $2 \leq p < \infty$ , and cha…

math.CA2026

Mean values, order, and convergence in the Hardy space of Dirichlet series

Ole Fredrik Brevig, Athanasios Kouroupis

Let $H^{2}$ denote the Hilbert space of Dirichlet series with square-summable coefficients. It follows from a theorem of Bohr that if $f$ in $H^{2}$ has a bounded a…

astro-ph.SR2026

Spectroscopic Study of the Circularly Polarised Radio Source TYC 2834-1385-1: An Active Binary

Tamara A. S. Bleeker, Alexander Hoogerbrug, Elise Koo +2

Close binaries with active chromospheres have recently been shown to emit circularly polarised radio emission at low frequencies, motivating detailed studies of their orbital prope…

math.FA2026

Bohr sets for multiplier algebras of complete Pick spaces

Ole Fredrik Brevig, Kristian Seip, Ilya Zlotnikov

We reexamine F. Wiener's classical proof that the Bohr radius of $H^{\infty}$ is $1/3$ . We replace $H^{\infty}$ by the multiplier algebras of complete Pick spaces and describe the Bohr…

math.CA2026

A simple proof that the Riesz projection is bounded on $L^{p} (T)$ for $1 < p < \infty$

Ole Fredrik Brevig

Let $P$ denote the Riesz projection on the unit circle $T$ and suppose that $1 < p < \infty$ . We present a simple proof of the bound $\|\mathbf{P}f\|_p \leq \max(p,q)…

math.CA2026

Harald Bohr's splitting theorem

Viktor Andersson, Ole Fredrik Brevig, Athanasios Kouroupis

We present a new elementary proof of a theorem due to Harald Bohr, which states that an unbounded, analytic, and almost periodic function in a half-plane can be written as the sum…

Extremals for linear functionals on Hp are outer when 0<p<1

Contractivity of Rudin's diagonal restriction operator for Hp of the polydisc

Mean values, order, and convergence in the Hardy space of Dirichlet series

Spectroscopic Study of the Circularly Polarised Radio Source TYC 2834-1385-1: An Active Binary

Bohr sets for multiplier algebras of complete Pick spaces

A simple proof that the Riesz projection is bounded on Lp(T) for 1<p<∞

Harald Bohr's splitting theorem

Extremals for linear functionals on $H^{p}$ are outer when $0 < p < 1$

Contractivity of Rudin's diagonal restriction operator for $H^{p}$ of the polydisc

A simple proof that the Riesz projection is bounded on $L^{p} (T)$ for $1 < p < \infty$