J. van Neerven

activity

20162026

most citedSpectral multiplier theorems for abstract harmonic oscillators on UMD lattices

1 citations · 1 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.FA2026

The bounds $ℏ_{p, X} ≲ (β_{p, X})^{2}$ and $β_{p, X} ≲ (ℏ_{p, X})^{2}$ are sharp

Emiel Lorist, Jan van Neerven

It was proved in the 1980s by Burkholder and Bourgain that, for any Banach space $X$ and $1 < p < \infty$ , the UMD $_{p}$ property for $X$ is equivalent to boundedness of the Hilbert tran…

math.FA2026

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

Jan van Neerven

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,γ_d;…

math.FA2026

Necessary conditions for deterministic and stochastic maximal regularity

Emiel Lorist, Jan van Neerven, Mark Veraar +1

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…

math.PR2026

A Bismut-Elworthy-Li formula for linear stochastic evolution equations in Banach spaces

Jan van Neerven

We prove a Bismut-Elworthy-Li formula for linear stochastic evolution equations in Banach spaces. The admissible directions are those for which the deterministic orbit is square in…

The bounds ℏp,X​≲(βp,X​)2 and βp,X​≲(ℏp,X​)2 are sharp

Dimension-free H∞-calculus of angle <π/2 for UMD-valued Ornstein--Uhlenbeck operators

Necessary conditions for deterministic and stochastic maximal regularity

A Bismut-Elworthy-Li formula for linear stochastic evolution equations in Banach spaces

The bounds $ℏ_{p, X} ≲ (β_{p, X})^{2}$ and $β_{p, X} ≲ (ℏ_{p, X})^{2}$ are sharp

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