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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Showing 2021Show all

4 papers · 1 filter

math.FA2021★ 2 cited

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

Ole Fredrik Brevig, Karl-Mikael Perfekt

Let $H^{2}$ denote the Hilbert space of Dirichlet series with square-summable coefficients. We study composition operators $C_{φ}$ on $H^{2}$ which are gene…

math.FA2021

Minimal norm Hankel operators

Ole Fredrik Brevig

Let $φ$ be a function in the Hardy space $H^{2} (T^{d})$ . The associated (small) Hankel operator $H_{φ}$ is said to have minimal norm if the general lower norm bound $\|…

math.FA2021★ 3 cited

Hilbert points in Hardy spaces

Ole Fredrik Brevig, Joaquim Ortega-Cerdà, Kristian Seip

A Hilbert point in $H^{p} (T^{d})$ , for $d \geq 1$ and $1 \leq p \leq \infty$ , is a nontrivial function $φ$ in $H^{p} (T^{d})$ such that $\| φ\|_{H^p(\mathbb{T}^d)} \leq \|φ+…

math.FA2021★ 3 cited

Idempotent Fourier multipliers acting contractively on $H^{p}$ spaces

Ole Fredrik Brevig, Joaquim Ortega-Cerdà, Kristian Seip

We describe the idempotent Fourier multipliers that act contractively on $H^{p}$ spaces of the $d$ -dimensional torus $T^{d}$ for $d \geq 1$ and $1 \leq p \leq \infty$ . When $p$ …

Orthogonal decomposition of composition operators on the H2 space of Dirichlet series

Minimal norm Hankel operators

Hilbert points in Hardy spaces

Idempotent Fourier multipliers acting contractively on Hp spaces

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

Idempotent Fourier multipliers acting contractively on $H^{p}$ spaces