Smoothness Morrey Spaces of regular distributions, and some unboundedness property. (July 2016)

• Record Type: Journal Article
• Authors: Haroske, Dorothee D.; Moura, Susana D.; Skrzypczak, Leszek
• Is Part Of: Nonlinear analysis. Volume 139(2016)
• Page Start: 218
• Page End: 244
• Publication Date: 2016-07
• Subjects: 46E35; Smoothness Morrey spaces -- Regular distributions -- Growth envelope; 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.2016.03.005
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study smoothness spaces of Morrey type on R n and characterise in detail when the spaces contain only regular distributions, i.e. when they can be embedded into L 1 loc . We also show that in all cases when it makes sense to study the growth envelope function of the proper smoothness Morrey spaces, it is always infinite.