Maximal function estimates and self-improvement results for Poincaré inequalities
Research output: Contribution to journal › Article
- University of Helsinki
- University of Jyväskylä
Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré inequalities related to differentiable structures on metric measure spaces. As an application, we give structure independent representation for Sobolev norms and universality results for Sobolev spaces.
|Number of pages||29|
|Publication status||Published - 7 Jan 2019|
|MoE publication type||A1 Journal article-refereed|