$l_p$-norms of Fourier coefficients of powers of a Blaschke factor

Oleg Szehr, Rachid Zarouf

We determine the asymptotic behavior of the $l_p$-norms of the sequence of Taylor coefficients of $b^n$, where $b=\frac{z-\lambda }{1-\bar{\lambda }z}$ is an automorphism of the unit disk, $p\…