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math.AP2013
Fundamental solutions and local solvability for nonsmooth Hörmander's operators
Marco Bramanti, Luca Brandolini, Maria Manfredini +1
We consider operators of the form in a bounded domain of R^p where X_0, X_1,...,X_n are nonsmooth Hörmander's vector fields of step r such that th…
math.AP2010
On the lifting and approximation theorem for nonsmooth vector fields
Marco Bramanti, Luca Brandolini, Marco Pedroni
We prove a version of Rothschild-Stein's theorem of lifting and approximation and some related results in the context of nonsmooth Hormander's vector fields for which the highest o…
math.AP2008★ 24 cited
Basic properties of nonsmooth Hormander's vector fields and Poincare's inequality
Marco Bramanti, Luca Brandolini, Marco Pedroni
We consider a family of vector fields defined in some bounded domain of R^p, and we assume that they satisfy Hormander's rank condition of some step r, and that their coefficients…