Extremal problems related to maximal dyadic like operators

TL;DR

This paper derives precise estimates for the quasi-norm of the maximal function associated with dyadic-like operators under specific conditions, advancing understanding of their extremal behavior.

Contribution

It provides new sharp bounds for the maximal dyadic-like operators, improving previous estimates and clarifying their extremal properties.

Findings

Sharp quasi-norm estimates for maximal dyadic-like operators

Conditions under which these estimates are optimal

Enhanced understanding of extremal behavior of these operators

Abstract

We obtain sharp estimates for the quasi norm of the maximal function of f when it satisfies certain conditions.