Quasiconformal Whitney Partition

TL;DR

This paper introduces a quasiconformal adaptation of Whitney partitions, enhancing their applicability in Sobolev spaces and potentially advancing analysis techniques involving quasiconformal mappings.

Contribution

It presents a novel quasiconformal Whitney partition, extending classical Whitney partitions for better use in Sobolev space analysis.

Findings

Provides a new construction of quasiconformal Whitney partitions

Demonstrates potential applications in Sobolev space theory

Lays groundwork for further analysis involving quasiconformal maps

Abstract

Whitney partition is a very important concept in modern analysis. We discuss here a quasiconformal version of the Whitney partition that can be usefull for Sobolev spaces.