Event
Almaz Butaev, Concordia University
Some refinements of the embedding of critical Sobolev spaces into BMO
In 2004, Van Schaftinen showed that the inequalities established by Bourgain and Brezis give rise to new function spaces that refine the classical embedding $mathring{W}^{1,n}(mathbb{R}^n)subset m{BMO}(mathbb{R}^n)$. In this talk, we discuss the non-homogeneous analogs of these function spaces on $mathbb{R}^n$ and their generalizations to Riemannian manifolds with bounded geometry.