On higher order Morrey's inequalities over RCD{\boldmath$(K,N)$}-spaces

Jun Kitagawa, Kazuhiro Kuwae

In this paper, we establish a higher order Morrey's inequality in the framework of %non-collapsed $\mathsf{RCD}(K,N)$-spaces for $K\in \mathbb{R}$ and $N\in \mathbb{N}$. We do so by…