A two-weight Sobolev inequality for Carnot-Carathéodory spaces
Sign Up to like & getrecommendations! Published in 2020 at "Ricerche Di Matematica"
DOI: 10.1007/s11587-020-00543-3
Abstract: Let $$X = \{X_1,X_2, \ldots ,X_m\}$$ be a system of smooth vector fields in $${{\mathbb R}^n}$$ satisfying the Hormander’s finite rank condition. We prove the following Sobolev inequality with reciprocal weights in Carnot-Caratheodory space $$\mathbb… read more here.
Keywords: two weight; frac int; sobolev inequality; inequality ... See more keywords
An optimal pointwise Morrey-Sobolev inequality
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124143
Abstract: Abstract Let Ω be a bounded, smooth domain of R N , N ≥ 1 . For each p > N we study the optimal function s = s p in the pointwise inequality |… read more here.
Keywords: morrey sobolev; pointwise morrey; sobolev inequality; inequality ... See more keywords