Samuel Zbarsky

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20132022

most citedApplications of the Canonical Ramsey Theorem to Geometry

1 citations · 3 across the 5 of their papers we have counts for

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math.CA2019

Lower bounds and fixed points for the centered Hardy--Littlewood maximal operator

Samuel Zbarsky

For all $p > 1$ and all centrally symmetric convex bodies $K \subset R^{d}$ define $M f$ as the centered maximal function associated to $K$ . We show that when $d = 1$ or $d = 2$ , we…

math.CA2018

Centered Hardy--Littlewood maximal operator on the real line: lower bounds

Paata Ivanisvili, Samuel Zbarsky

For $1 < p < \infty$ and $M$ the centered Hardy-Littlewood maximal operator on $R$ , we consider whether there is some $ε = ε (p) > 0$ such that $\|Mf\|_p\ge (1+…