Izvorni znanstveni članak

https://doi.org/10.3336/gm.53.1.10

Proper inclusions of Morrey spaces

Hendra Gunawan ; Department of Mathematics, Bandung Institute of Technology, Bandung 40132, Indonesia
Denny Ivanal Hakim ; Department of Mathematics, Bandung Institute of Technology, Bandung 40132, Indonesia
Mochammad Idris ; Department of Mathematics, Bandung Institute of Technology, Bandung 40132, Indonesia

Sažetak

In this paper, we prove that the inclusions between Morrey spaces, between weak Morrey spaces, and between a Morrey space and a weak Morrey space are all proper. The proper inclusion between a Morrey space and a weak Morrey space is established via the unboundedness of the Hardy-Littlewood maximal operator on Morrey spaces of exponent 1. In addition, we also give a necessary condition for each inclusion. Our results refine previous inclusion properties studied in [4].

Ključne riječi

Morrey spaces; weak Morrey spaces; inclusion properties

Hrčak ID:

201828

URI

https://hrcak.srce.hr/201828

Datum izdavanja:

20.6.2018.

Posjeta: 1.393 *