35 citations · 168 across the 31 of their papers we have counts for
10 papers · 1 filter
Sharp mixed - estimates for sparse operators on filtered and nonhomogeneous measure spaces
Francisco Gonçalves, Emiel Lorist
We prove mixed - estimates for sparse operators in two non-doubling settings. In the first setting, we consider sparse operators defined using stopping times in cont…
The bounds and are sharp
Emiel Lorist, Jan van Neerven
It was proved in the 1980s by Burkholder and Bourgain that, for any Banach space and , the UMD property for is equivalent to boundedness of the Hilbert tran…
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…
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…
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 with dense range on a Hilbert space that gen…
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 -sparse bound, then its coordinate-wise exten…
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 -dilations. Applying the lem…
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…
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…
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 …