Average Nikolskii factors for random diffusion polynomials on closed Riemannian manifolds

Yun Ling, Heping Wang

For $1\le p,q\le \infty$, the Nikolskii factor for a diffusion polynomial $P_{\mathbf{a}}$ of degree at most $n$ is defined by $$N_{p,q}(P_{\bf a})=\frac{\|P_{\bf a}\|_{q}}{\|P_{\bf a}\…