Emiel Lorist

activity

20142026

most citedBanach function spaces done right

35 citations · 168 across the 31 of their papers we have counts for

collaborators

33 papers

math.CA2026

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

Francisco Gonçalves, Emiel Lorist

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 cont…

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

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.CA2026

Form domination and tent space estimates for operators on the half-space

Pascal Auscher, Hedong Hou, Emiel Lorist +1

We study operators acting on functions defined on the half-space, with methods inspired by sparse domination. Using the specific link between dyadic grids on the boundary and Whitn…

math.FA2026

A solution to the inverse generator problem and related questions

Emiel Lorist, Martin Meyries, Mark Veraar

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 gen…

math.CA2026

Sparse domination implies convex body domination

Aapo Laukkarinen, Emiel Lorist

We prove that sparse domination of a bilinear form implies convex body domination. More precisely, if a bilinear form admits an $(r, s)$ -sparse bound, then its coordinate-wise exten…

math.CA2026

A solution to Crouzeix's conjecture

Emiel Lorist, Felix Schwenninger

We provide a proof of Crouzeix's conjecture, which combines the tools developed previously for weaker estimates with a simple perturbation lemma for $2$ -dilations. Applying the lem…

math.CA2026

The two-weight fractional Poincaré-Sobolev sandwich

Emiel Lorist, Carel Wagenaar

We establish a two-weight fractional Poincaré-Sobolev sandwich, consisting of a two-weight fractional Poincaré-Sobolev inequality and a two-weight embedding from the first-order So…

math.CA2026

Cancellative sparse domination

José M. Conde Alonso, Emiel Lorist, Guillermo Rey

We present a general sparse domination principle which respects the cancellative structure of the functions under study. We obtain sparse domination results in general measure spac…

math.FA2026

Operator-valued Fourier multipliers of bounded s-variation

Chenxi Deng, Emiel Lorist, Mark Veraar

In this paper, we establish an operator-valued Fourier multiplier theorem in weighted Lebesgue spaces, Besov and Triebel--Lizorkin spaces, assuming the multiplier has $R$ …

math.FA2025

$H^{\infty}$ -calculus for the Dirichlet Laplacian on conical domains

Petru A. Cioica-Licht, Emiel Lorist, P. Tobias Werner

We establish boundedness of the $H^{\infty}$ -calculus for the Dirichlet Laplacian on conical domains in $R^{d}$ and corresponding wedges on $L^{p}$ -spaces with mixed weights. Th…

math.AP2025★ 2 cited

Functional calculus on weighted Sobolev spaces for the Laplacian on rough domains

Nick Lindemulder, Emiel Lorist, Floris Roodenburg +1

We study the Laplace operator on domains subject to Dirichlet or Neumann boundary conditions. We show that these operators admit a bounded $H^{\infty}$ -functional calculus on weigh…

math.CA2025

Optimization algorithms for Carleson and sparse collections of sets

Eline A. Honig, Emiel Lorist

Carleson and sparse collections of sets play a central role in dyadic harmonic analysis. We employ methods from optimization theory to study such collections. First, we present a s…

math.FA2024★ 4 cited

Functional calculus on weighted Sobolev spaces for the Laplacian on the half-space

Nick Lindemulder, Emiel Lorist, Floris Roodenburg +1

In this paper, we consider the Laplace operator on the half-space with Dirichlet and Neumann boundary conditions. We prove that this operator admits a bounded $H^{\infty}$ -calculus o…

math.FA2023★ 1 cited

Strongly Kreiss Bounded Operators in UMD Banach Spaces

Chenxi Deng, Emiel Lorist, Mark Veraar

In this paper we give growth estimates for $∥ T^{n} ∥$ for $n \to \infty$ in the case $T$ is a strongly Kreiss bounded operator on a UMD Banach space $X$ . In several special cases we…

math.FA2023★ 35 cited

Banach function spaces done right

Emiel Lorist, Zoe Nieraeth

In this survey, we discuss the definition of a (quasi-)Banach function space. We advertise the original definition by Zaanen and Luxemburg, which does not have various issues intro…

math.CA2023★ 8 cited

Bloom weighted bounds for sparse forms associated to commutators

Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi

In this paper we consider bilinear sparse forms intimately related to iterated commutators of a rather general class of operators. We establish Bloom weighted estimates for these f…

math.CA2023★ 7 cited

Extrapolation of compactness on Banach function spaces

Emiel Lorist, Zoe Nieraeth

We prove an extrapolation of compactness theorem for operators on Banach function spaces satisfying certain convexity and concavity conditions. In particular, we show that the boun…

math.CA2023

Weighted $L^{p} \to L^{q}$ -boundedness of commutators and paraproducts in the Bloom setting

Timo S. Hänninen, Emiel Lorist, Jaakko Sinko

As our main result, we supply the missing characterization of the $L^{p} (μ) \to L^{q} (λ)$ boundedness of the commutator of a non-degenerate Calderón--Zygmund operator $T$ and pointwise…

math.CA2022★ 3 cited

BMO with respect to Banach function spaces

Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi

For every cube $Q \subset R^{n}$ we let $X_{Q}$ be a quasi-Banach function space over $Q$ such that $∥ χ_{Q} ∥_{X_{Q}} ≃ 1$ , and for $X = {X_{Q}}$ define \begin{align*} \|f\|_…

math.CA2021★ 13 cited

Operator-free sparse domination

Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi

We obtain a sparse domination principle for an arbitrary family of functions $f (x, Q)$ , where $x \in R^{n}$ and $Q$ is a cube in $R^{n}$ . When applied to operators, t…

math.FA2021★ 8 cited

A discrete framework for the interpolation of Banach spaces

Nick Lindemulder, Emiel Lorist

We develop a discrete framework for the interpolation of Banach spaces, which contains the well-known real and complex interpolation methods, but also more recent methods like the…

math.FA2021★ 2 cited

Stein interpolation for the real interpolation method

Nick Lindemulder, Emiel Lorist

We prove a complex formulation of the real interpolation method, showing that the real and complex interpolation methods are not inherently real or complex. Using this complex form…

math.CA2020★ 9 cited

Sparse domination implies vector-valued sparse domination

Emiel Lorist, Zoe Nieraeth

We prove that scalar-valued sparse domination of a multilinear operator implies vector-valued sparse domination for tuples of quasi-Banach function spaces, for which we introduce a…

Sharp mixed Ap​-A∞​ estimates for sparse operators on filtered and nonhomogeneous measure spaces

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

Necessary conditions for deterministic and stochastic maximal regularity

Form domination and tent space estimates for operators on the half-space

A solution to the inverse generator problem and related questions

Sparse domination implies convex body domination

A solution to Crouzeix's conjecture

The two-weight fractional Poincaré-Sobolev sandwich

Cancellative sparse domination

Operator-valued Fourier multipliers of bounded s-variation

H∞-calculus for the Dirichlet Laplacian on conical domains

Functional calculus on weighted Sobolev spaces for the Laplacian on rough domains

Optimization algorithms for Carleson and sparse collections of sets

Functional calculus on weighted Sobolev spaces for the Laplacian on the half-space

Strongly Kreiss Bounded Operators in UMD Banach Spaces

Banach function spaces done right

Bloom weighted bounds for sparse forms associated to commutators

Extrapolation of compactness on Banach function spaces

Weighted Lp→Lq-boundedness of commutators and paraproducts in the Bloom setting

BMO with respect to Banach function spaces

Operator-free sparse domination

A discrete framework for the interpolation of Banach spaces

Stein interpolation for the real interpolation method

Sparse domination implies vector-valued sparse domination

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

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

$H^{\infty}$ -calculus for the Dirichlet Laplacian on conical domains

Weighted $L^{p} \to L^{q}$ -boundedness of commutators and paraproducts in the Bloom setting