Maximum convex hulls of connected systems of segments and of polyominoes.
Mesures sur le cercle et convexes du plan
Metric ellipses in Minkowski planes.
An ellipse in R2 can be defined as the locus of points for which the sum of the Euclidean distances from the two foci is constant. In this paper we will look at the sets that are obtained by considering in the above definition distances induced by arbitrary norms.
Minimum Steiner Trees in Normed Planes.
Minimum-area axially symmetric convex bodies containing a triangle and its measure of axial symmetry.
Minkowskian rhombi and squares inscribed in convex Jordan curves
We show that any convex Jordan curve in a normed plane admits an inscribed Minkowskian square. In addition we prove that no two different Minkowskian rhombi with the same direction of one diagonal can be inscribed in the same strictly convex Jordan curve.
Misure approssimanti ed insiemi ad ampiezza costante
Monotonic rearrangements of functions with small mean oscillation
We obtain sharp bounds for the monotonic rearrangement operator from "dyadic-type" classes to "continuous" ones; in particular, for the BMO space and Muckenhoupt classes. The idea is to connect the problem with a simple geometric construction named α-extension.