Monomial convergence for holomorphic functions on $\ell \_r$

Frédéric Bayart, Andreas Defant, Sunke Schlüters

Let $\mathcal{F}$ be either the set of all bounded holomorphic functions or the set of all $m$-homogeneous polynomials on the unit ball of $\ell \_r$. We give a systematic study of t…