Mappings with bounded (P, Q)-distortion on Carnot groups

作者：Ukhlov A^*; Vodop'yanov S K

来源：Bulletin des Sciences Mathematiques, 2010, 134(6): 605-634.

DOI：10.1016/j.bulsci.2009.09.002

• Mappings with bounded distortion
• Sobolev spaces
• Carnot groups

We study mappings with bounded (p, q)-distortion associated to Sobolev spaces on Carnot groups. Mappings of such type have applications to the Sobolev type embedding theory and classification of manifolds. For this class of mappings, we obtain estimates of linear distortion, and a geometrical description. We prove also Liouville type theorems and give some sufficient conditions for removability of sets.

• 出版日期2010-9