Riesz projection and bounded mean oscillation for Dirichlet series

Sergei Konyagin, Hervé Queffélec, Eero Saksman +1

We prove that the norm of the Riesz projection from $L^{\infty }({\mathbb{T}}^n)$ to $L^p({\mathbb{T}}^n)$ is $1$ for all $n\ge 1$ only if $p\le 2$, thus solving a problem posed by Marzo and Se…