A characterization of two weight trace inequalities for positive dyadic operators in the upper triangle case

TL;DR

This paper characterizes two weight trace inequalities for positive dyadic operators using discrete Wolff's potentials specifically in the upper triangle case, providing a detailed mathematical framework.

Contribution

It introduces a new characterization of two weight trace inequalities for positive dyadic operators via discrete Wolff's potentials in the upper triangle case.

Findings

Characterization of inequalities in terms of discrete Wolff's potentials

Applicable to the upper triangle case of dyadic operators

Provides a mathematical framework for these inequalities

Abstract

Two weight trace inequalities for positive dyadic operators are characterized in terms of discrete Wolff's potentials in the upper triangle case.