Access Type
Open Access Dissertation
Date of Award
January 2015
Degree Type
Dissertation
Degree Name
Ph.D.
Department
Mathematics
First Advisor
Xiaoyue Cui
Abstract
This dissertation focuses on new characterizations of Sobolev spaces .
It encompasses an in-depth study of Sobolev spaces on Heisenberg groups, as well as Carnot groups, second order and high order Sobolev spaces on Euclidean spaces.
Recommended Citation
Cui, Xiaoyue, "New Characterizations Of Sobolev Spaces On Heisenberg And Carnot Groups And High Order Sobolev Spaces On Eucliean Spaces" (2015). Wayne State University Dissertations. 1395.
https://digitalcommons.wayne.edu/oa_dissertations/1395