123 citations · 278 across the 26 of their papers we have counts for
34 papers
On an improved restricted reverse weak-type bound for the maximal operator
Andrei K. Lerner
We obtain an improved lower bound for the restricted reverse weak-type estimate of the Hardy-Littlewood maximal operator . This result is applied to the -median maximal opera…
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…
A boundedness criterion for the maximal operator on variable Lebesgue spaces
Andrei K. Lerner
We obtain a necessary and sufficient condition on an exponent for which the Hardy--Littlewood maximal operator is bounded on the variable space. It is for…
A note on the maximal operator on weighted Morrey spaces
Andrei K. Lerner
In this paper we consider weighted Morrey spaces adapted to a family of cubes , with norm $$\|f\|_{{\mathcal M}_{λ, {\mathcal F}…
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…