E. Palsson

activity

20152025

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Showing 2019Show all

5 papers · 1 filter

math.CA2019

Bounds for discrete multilinear spherical maximal functions in higher dimensions

Theresa C. Anderson, Eyvindur Ari Palsson

We find the sharp range for boundedness of the discrete bilinear spherical maximal function for dimensions $d \geq 5$ . That is, we show that this operator is bounded on $l^{p}(\mat…

math.CA2019

Bounds for discrete multilinear spherical maximal functions

Theresa C. Anderson, Eyvindur Ari Palsson

We define a discrete version of the bilinear spherical maximal function, and show bilinear $l^{p} (Z^{d}) \times l^{q} (Z^{d}) \to l^{r} (Z^{d})$ bounds for $d \ge…

math.CO2019

Characterizing optimal point sets determining one distinct triangle

Hazel N. Brenner, James S. Depret-Guillaume, Eyvindur A. Palsson +1

In this paper we determine the maximum number of points in $R^{d}$ which form exactly $t$ distinct triangles, where we restrict ourselves to the case of $t = 1$ . We denote t…

math.CO2019

Crescent configurations in normed spaces

Sara Fish, Dylan King, Steven J. Miller +2

We study the problem of crescent configurations, posed by Erdős in 1989. A crescent configuration is a set of $n$ points in the plane such that: 1) no three points lie on a common…

math.CO2019

On the Number of Discrete Chains

Eyvindur Ari Palsson, Steven Senger, Adam Sheffer

We study a generalization of Erd\H os's unit distances problem to chains of $k$ distances. Given $P,$ a set of $n$ points, and a sequence of distances $(δ_{1}, \dots, δ_{k})$ ,…