Paw{\l}ucki-Pl\'esniak Extension Operator For Non-Markov Sets

TL;DR

This paper demonstrates that the Pawlucki-Plésniak extension operator remains bounded when applied to certain non-Markov sets, expanding its applicability beyond previously known cases.

Contribution

It introduces conditions under which the Pawlucki-Plésniak operator is bounded on non-Markov sets, a novel extension of existing theory.

Findings

Boundedness of the operator on specific non-Markov sets

Extension of operator applicability beyond Markov sets

New theoretical conditions for boundedness

Abstract

We show that Pawlucki-Pl\'esniak operator is bounded for some non-Markov sets.