The Pointillist principle for variation operators and jump functions

TL;DR

This paper extends the pointillist principles to variational operators and jump functions, providing new insights into their behavior and properties in analysis.

Contribution

It introduces a novel extension of pointillist principles specifically applied to variational operators and jump functions.

Findings

Extended pointillist principles to variational operators

Analyzed properties of jump functions under new principles

Provided theoretical framework for future research

Abstract

We extend the pointillist principles of Moon and Carrillo--de Guzm\'an to variational operators and jump functions.