Embeddings of the fractional Sobolev spaces on metric-measure spaces. (August 2022)

• Record Type: Journal Article
• Authors: Górka, Przemysław; Słabuszewski, Artur
• Is Part Of: Nonlinear analysis. Volume 221(2022)
• Publication Date: 2022-08
• Subjects: 46E35 -- 30L99; Sobolev spaces -- Fractional spaces -- Metric-measure spaces -- Sobolev embeddings -- Compact embedding; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.112867
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study embeddings of fractional Sobolev spaces defined on metric-measure spaces. Various results about continuous and compact embeddings are proven. Many theorems are illustrated by a number of examples.