Nicolas Espoullier

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math.CV2026

Simultaneous polynomial approximation in Beurling-Sobolev spaces via Blaschke products

StÃ©phane Charpentier, Nicolas Espoullier, Rachid Zarouf

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

math.CV2024

Bloch functions with wild boundary behaviour in $C^{N}$

We prove the existence of functions $f$ in the Bloch space of the unit ball $B_{N}$ of $C^{N}$ with the property that, given any measurable function $I ¨ $ on the unit…

Simultaneous polynomial approximation in Beurling-Sobolev spaces via Blaschke products

Bloch functions with wild boundary behaviour in CN

Bloch functions with wild boundary behaviour in $C^{N}$