Sean Sovine

activity

20142021

most citedThe Triangle Operator

2 citations · 4 across the 5 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.CA2021★ 1 cited

Sparse bounds for maximal triangle and bilinear spherical averaging operators

Eyvindur Ari Palsson, Sean R. Sovine

We show that the method in recent work of Roncal, Shrivastava, and Shuin can be adapted to show that certain $L^{p}$ -improving bounds in the interior of the boundedness region for th…

math.CA2021

Simplex Averaging Operators: Quasi-Banach and $L^{p}$ -Improving Bounds in Lower Dimensions

Alex Iosevich, Eyvindur Ari Palsson, Sean R. Sovine

We establish some new $L^{p}$ -improving bounds for the $k$ -simplex averaging operators $S^{k}$ that hold in dimensions $d \geq k$ . As a consequence of these $L^{p}$ -improving bounds we o…

Sparse bounds for maximal triangle and bilinear spherical averaging operators

Simplex Averaging Operators: Quasi-Banach and Lp-Improving Bounds in Lower Dimensions

Simplex Averaging Operators: Quasi-Banach and $L^{p}$ -Improving Bounds in Lower Dimensions