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math.MG2018
On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets
Daniele Morbidelli
In the setting of step two Carnot groups, we show a "cone property" for horizontally convex sets. Namely we prove that, given a horizontally convex set , a pair of points $P\in…
math.CA2018
A Trace theorem for Martinet--type vector fields
Daniele Gerosa, Roberto Monti, Daniele Morbidelli
In we consider the vector fields \[ X_1 =\frac{ \partial }{\partial x},\qquad X_2 =\frac{ \partial }{\partial y}+ |x|^α\frac{ \partial }{\partial z}, \] where $α\in\…
math.MG2018
John and uniform domains in generalized Siegel boundaries
Roberto Monti, Daniele Morbidelli
Given the pair of vector fields and where , we gi…