35 citations · 168 across the 31 of their papers we have counts for
17 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…
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…
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…
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…
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…
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…
Weighted -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 boundedness of the commutator of a non-degenerate Calderón--Zygmund operator and pointwise…
BMO with respect to Banach function spaces
Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi
For every cube we let be a quasi-Banach function space over such that , and for define \begin{align*} \|f\|_…
Operator-free sparse domination
Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi
We obtain a sparse domination principle for an arbitrary family of functions , where and is a cube in . When applied to operators, t…
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…
On pointwise -sparse domination in a space of homogeneous type
Emiel Lorist
We prove a general sparse domination theorem in a space of homogeneous type, in which a vector-valued operator is controlled pointwise by a positive, local expression called a spar…
Vector-valued extensions of operators through multilinear limited range extrapolation
Emiel Lorist, Zoe Nieraeth
We give an extension of Rubio de Francia's extrapolation theorem for functions taking values in UMD Banach function spaces to the multilinear limited range setting. In particular w…
Sparse domination for the lattice Hardy-Littlewood maximal operator
Timo S. Hänninen, Emiel Lorist
We study the domination of the lattice Hardy--Littlewood maximal operator by sparse operators in the setting of general Banach lattices. We prove that the admissible exponents of t…
On the -boundedness of a family of integral operators
Chiara Gallarati, Emiel Lorist, Mark Veraar
In this paper we prove an -boundedness result for integral operators with operator-valued kernels. The proofs are based on extrapolation techniques with weights due to Rubi…