SUBELLIPTIC POINCARÉ INEQUALITIES : THE CASE p < 1
نویسندگان
چکیده
We obtain (weighted) Poincaré type inequalities for vector fields satisfying the Hörmander condition for p < 1 under some assumptions on the subelliptic gradient of the function. Such inequalities hold on Boman domains associated with the underlying CarnotCarathéodory metric. In particular, they remain true for solutions to certain classes of subelliptic equations. Our results complement the earlier results in these directions for p ≥ 1.
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تاریخ انتشار 1995