$L^{\infty }$ to $L^p$ constants for Riesz projections

Jordi Marzo, Kristian Seip

The norm of the Riesz projection from $L^\infty(\T^n)$ to $L^p(\T^n)$ is considered. It is shown that for $n=1$, the norm equals $1$ if and only if $p\le 4$ and that the norm behav…