3 citations · 4 across the 6 of their papers we have counts for
6 papers
-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow
Vlassis Mastrantonis
-polarity and -Mahler volumes were recently introduced by Berndtsson, Rubinstein, and the author as a new approach, inspired by complex geometry, to the Mahler, Bourgain,…
A Santaló inequality for the -polar body
Vlassis Mastrantonis
In recent work with Berndtsson and Rubinstein, a notion of -polarity was introduced, with classical polarity recovered in the limit , and -polarity closely re…
Two-dimensional Błocki, -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 -Mahler conjectures due…
-polarity, Mahler volumes, and the isotropic constant
Bo Berndtsson, Vlassis Mastrantonis, Yanir A. Rubinstein
This article introduces versions of the support function of a convex body and associates to these canonical -polar bodies and Mahler volumes $\mathcal…
The Nazarov proof of the non-symmetric Bourgain--Milman inequality
Vlassis Mastrantonis, Yanir A. Rubinstein
In 2012, Nazarov used Bergman kernels and Hormander's estimates for the -equation to give a new proof of the Bourgain--Milman theorem for symmetric convex bodie…
Relations of the spaces and
Vlassis Mastrantonis
In this paper we prove that for functions there is an equivalence between the continuous extension of their derivatives over the boundary and the differentiability of t…