$L^2$-Caffarelli--Kohn--Nirenberg inequalities on metric measure spaces

Zhe-Feng Xu, Ye Zhang

Motivated by the sharp constants in the $L^2$-Caffarelli--Kohn--Nirenberg (or $L^2$-CKN for short) inequalities on Euclidean spaces, we study, in a unified framework, a sequence of…