Author

Emiel Lorist

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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

Sharp mixed $A_p$-$A_\infty$ estimates for sparse operators on filtered and nonhomogeneous measure spaces

We prove mixed $A_p$-$A_\infty$ estimates for sparse operators in two non-doubling settings. In the first setting, we consider sparse operators defined using stopping times in continuous time. We obtain both strong- and weak-type bounds with the same powers of the weight characteristics as in the classical setting. Som...

F. Gonçalves, Emiel Lorist · 0 citations

Preprint Aug 2026

A solution to the inverse generator problem and related questions

We give a negative solution to the inverse generator problem on Hilbert spaces. More precisely, we construct a bounded operator $A$ with dense range on a Hilbert space $H$ that generates a bounded, strongly stable $C_0$-semigroup, while $A^{-1}$ does not generate a $C_0$-semigroup. We also construct an exponentially st...

Emiel Lorist, M. Meyries, M. Veraar · 0 citations