Convexity of average operators for subsolutions to subelliptic equations
Convexity of average operators for subsolutions to subelliptic equations
We study convexity properties of the average integral operators naturally associated with divergence-form second-order subelliptic operators ᏸ with nonnegative characteristic form.When ᏸ is the classical Laplace operator, these average operators are the usual average integrals over Euclidean spheres.In our subelliptic setting, the average operators are (weighted) integrals over the level …