2 citations · 2 across the 8 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
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…
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 pointwi…