Sarah May Instanes

activity

20202025

collaborators

3 papers

math.CV2025

Point evaluation for polynomials on the circle

Sarah May Instanes

We study the constant $C_{d, p}$ defined as the smallest constant $C$ such that $∥ P ∥_{\infty}^{p} \leq C ∥ P ∥_{p}^{p}$ holds for every polynomial $P$ of degree $d$ , where we con…

math.CA2024

An optimization problem and point-evaluation in Paley-Wiener spaces

Sarah May Instanes

We study the constant $C_{p}$ defined as the smallest constant $C$ such that $∣ f (0) ∣^{p} \leq C ∥ f ∥_{p}^{p}$ holds for every function $f$ in the Paley-Wiener space $P W^{p}$ . Brevi…

math.CV2020

F. Wiener's trick and an extremal problem for $H^{p}$

Ole Fredrik Brevig, Sigrid Grepstad, Sarah May Instanes

For $0 < p \leq \infty$ , let $H^{p}$ denote the classical Hardy space of the unit disc. We consider the extremal problem of maximizing the modulus of the $k$ th Taylor coefficient of a…

Point evaluation for polynomials on the circle

An optimization problem and point-evaluation in Paley-Wiener spaces

F. Wiener's trick and an extremal problem for Hp

F. Wiener's trick and an extremal problem for $H^{p}$