Andrei K. Lerner

collaborators

3 papers

math.CA2026

Dual boundedness of the maximal operator on concave Banach function spaces

Andrei K. Lerner

We prove a conjecture of Nieraeth asserting that if the Hardy--Littlewood maximal operator $M$ is bounded on an $s$ -concave Banach function space $X$ for some $s \in (1, \infty)$ , th…

math.CA2026

Sparse domination of CalderÃ³n-Zygmund operators by mean oscillations

Andrei K. Lerner

We show that if $T$ is a Dini-continuous CalderÃ³n--Zygmund operator satisfying $T (1) = 0$ , then the usual sparse domination for $T$ can be sharpened by replacing local averages with…

math.CA2026

The maximal operator on variable Lebesgue spaces: an $A_{\infty}$ -characterization

Andrei K. Lerner

In this paper we obtain a new boundedness criterion for the maximal operator $M$ on variable exponent spaces $L^{p (\cdot)}$ . It is formulated in terms of the variable exponent anal…

Dual boundedness of the maximal operator on concave Banach function spaces

Sparse domination of CalderÃ³n-Zygmund operators by mean oscillations

The maximal operator on variable Lebesgue spaces: an A∞​-characterization

The maximal operator on variable Lebesgue spaces: an $A_{\infty}$ -characterization