4 papers
A strengthening of the dimensional Brunn-Minkowski conjecture implies the (B)-conjecture
Sotiris Armeniakos, Jacopo Ulivelli
We prove that if a sufficiently regular even log-concave measure satisfies a certain stronger form of the dimensional Brunn-Minkowski conjecture, then it also satisfies the (B)-con…
A new infinitesimal form of the Prékopa-Leindler inequality with multiplicative structure and applications
Sotiris Armeniakos, Jacopo Ulivelli
By differentiating a concavity principle arising from the Prékopa-Leindler inequality, we obtain a statement simultaneously strengthening the weighted boundary Poincaré inequality…
Characterizing Maximal Monotone Operators with Unique Representation
Sotiris Armeniakos, Aris Daniilidis
We study maximal monotone operators whose Fitzpatrick family reduces to a singleton; such operators will be called uniquely representable. We show tha…
Approximation on compact sets of functions and all derivatives
Sotiris Armeniakos, Giorgos Kotsovolis, Vassili Nestoridis
In Mergelyan type approximation we uniformly approximate functions on compact sets K by polynomials or rational functions or holomorphic functions on varying open sets containing K…