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math.CA2023
Sobolev smoothing estimates for bilinear maximal operators with fractal dilation sets
Tainara Borges, Benjamin Foster, Yumeng Ou
Given a hypersurface , we study the bilinear averaging operator that averages a pair of functions over , as well as more general bilinear multipliers o…
math.CA2023
Bounds for lacunary bilinear spherical and triangle maximal functions
Tainara Borges, Benjamin Foster
We prove bounds for certain lacunary bilinear maximal averaging operators with parameters satisfying the Hölder relation . The boundedne…
math.AP2023★ 1 cited
Results on gradients of harmonic functions on Lipschitz surfaces
Benjamin Foster
We study various properties of the gradients of solutions to harmonic functions on Lipschitz surfaces. We improve an exponential bound of Naber and Valtorta on the size of the supe…