A remark on the majorant property for random sets

TL;DR

This paper enhances the understanding of majorant estimates for random sets by leveraging Bourgain's $\\Lambda(p)$ property, providing improved bounds and insights into their behavior.

Contribution

It introduces a novel application of Bourgain's $\\Lambda(p)$ property to improve majorant estimates for random sets.

Findings

Improved majorant bounds for random sets.

Application of Bourgain's $\\Lambda(p)$ property in this context.

Enhanced theoretical understanding of random set behavior.

Abstract

We improve upon the majorant estimates introduced by Mockenhaupt and Schlag by applying Bourgain's $\Lambda(p)$ property to random sets.