Vlassis Mastrantonis

activity

20162024

most cited

L^{p}

-polarity, Mahler volumes, and the isotropic constant

3 citations · 4 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.FA2024★ 1 cited

$L^{p}$ -Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow

Vlassis Mastrantonis

$L^{p}$ -polarity and $L^{p}$ -Mahler volumes were recently introduced by Berndtsson, Rubinstein, and the author as a new approach, inspired by complex geometry, to the Mahler, Bourgain,…

math.FA2024

A Santaló inequality for the $L^{p}$ -polar body

Vlassis Mastrantonis

In recent work with Berndtsson and Rubinstein, a notion of $L^{p}$ -polarity was introduced, with classical polarity recovered in the limit $p \to \infty$ , and $L^{1}$ -polarity closely re…

math.FA2024

Two-dimensional Błocki, $L^{p}$ -Mahler, and Bourgain conjectures

Vlassis Mastrantonis, Yanir A. Rubinstein

We confirm, in dimension two, Blocki's conjectures on sharp lower bounds for Bergman kernels of tube domains. To that end, we verify a broader class of $L^{p}$ -Mahler conjectures due…

Lp-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow

A Santaló inequality for the Lp-polar body

Two-dimensional Błocki, Lp-Mahler, and Bourgain conjectures

$L^{p}$ -Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow

A Santaló inequality for the $L^{p}$ -polar body

Two-dimensional Błocki, $L^{p}$ -Mahler, and Bourgain conjectures