Fractional Orlicz-Sobolev extension/imbedding on Ahlfors $n$-regular domains

TL;DR

This paper establishes criteria for fractional Orlicz-Sobolev extension and embedding properties on Ahlfors $n$-regular domains, advancing the understanding of function spaces in irregular geometric settings.

Contribution

It introduces new criteria for fractional Orlicz-Sobolev extension and imbedding on Ahlfors $n$-regular domains, expanding the theoretical framework in this area.

Findings

Criteria for fractional Orlicz-Sobolev extension established

Criteria for imbedding domains developed

Enhanced understanding of function spaces on irregular domains

Abstract

In this paper we build up a criteria for fractional Orlicz-Sobolev extension and imbedding domains on Ahlfors $n$-regular domains.