5 papers
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…
On off-diagonal operators in matrix-weighted spaces
David Cruz-Uribe, Aapo Laukkarinen, Kabe Moen
In this paper we prove matrix-weighted inequalities for fractional operators and their commutators. We do so by developing the theory of convex body domination for such operators.…
Compactness of commutators of rough singular integrals
Aapo Laukkarinen, Jaakko Sinko
We study the two-weighted off-diagonal compactness of commutators of rough singular integral operators that are associated with a kernel . We esta…
Convex body domination for rough singular integrals
Aapo Laukkarinen
Convex body domination is a technique, where operators acting on vector-valued functions are estimated via certain convex body averages of the input functions. This domination lets…
Convex body domination for a class of multi-scale operators
Aapo Laukkarinen
The technique of sparse domination, i.e., dominating operators with sums of averages taken over sparsely distributed cubes, has seen rapid development recently within the realms of…