We aim at reviewing and extending a number of recent results addressing stability of certain geometric and analytic estimates in the Riemannian approximation of subRiemannian structures. In particular we extend the recent work of the the authors with Rea (Math Ann 357(3):1175–1198, 2013) and Manfredini (Anal Geom Metric Spaces 1:255–275, 2013) concerning stability of doubling properties, Poincaré inequalities, Gaussian estimates on heat kernels and Schauder estimates from the Carnot group setting to the general case of Hörmander vector fields.

Creator

• Capogna, Luca
• Citti, Giovanna

Parola chiave

• Subelliptic Pde
• Subriemannian Geometry
• Riemannian Approximation
• Heat Kernels

Date created

• 7/1/16

Resource type

• Article

Extent

• 58 pages

Source

• https://doi.org/10.1007/s13373-015-0076-8

Rights statement

• In Copyright

License

• Creative Commons BY Attribution 4.0 International

Ultima modifica

• 2020-09-21