Simultaneous polynomial approximation in Beurling-Sobolev spaces via Blaschke products

Stéphane Charpentier, Nicolas Espoullier, Rachid Zarouf

Assuming that $\varphi (t)=o(t^2)$ as $t\to 0$, we establish a lemma on simultaneous polynomial approximation in Orlicz-Beurling-Sobolev spaces ${\ell }_a^{\varphi }$. These spaces, endowed with the L…