Author

J. van Neerven

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Preprint Aug 2026

Necessary conditions for deterministic and stochastic maximal regularity

We study the role of Banach space geometry in deterministic and stochastic maximal regularity. We first construct an example showing that the UMD assumption in the characterisation of maximal $L^p$-regularity in terms of $R$-sectoriality cannot be omitted. Combining this construction with an equivalence between stochas...

Emiel Lorist, J. van Neerven, M. Veraar et al. · 0 citations

Preprint Sep 2026

Dimension-free $H^\infty$-calculus of angle $<\pi/2$ for UMD-valued Ornstein--Uhlenbeck operators

Let $1<p<\infty$, let $X$ be a UMD Banach space, let $1<p<\infty$, and let $L_d$ be the generator of the Ornstein--Uhlenbeck semigroup $(P_d(t))_{t\geq 0}$ on $L^p(\mathbb R^d,\gamma_d;X)$. We prove that the operators $-L_d$ are $R$-sectorial with a common angle strictly smaller than $\pi/2$ and with bounds independent...

J. van Neerven · 0 citations