An inclusion property of Orlicz-Morrey spaces
Masta A.A.a, Gunawan H.a, Setya-Budhi W.a
a Analysis and Geometry Group, Faculty of Mathematics, Natural Sciences Bandung Institute of Technology, Bandung, 40132, Indonesia
Abstract
© Published under licence by IOP Publishing Ltd.The Orlicz-Morrey spaces L φ,Φ (where Φ is a Young function and φ is a parameter for the Morrey spaces) are generalizations of Orlicz spaces and Morrey spaces. Inclusion properties between Orlicz spaces L Φ and between Morrey spaces are well known. In this study we will investigate the inclusion relation between Orlicz-Morrey spaces L φ 1, Φ1 and L φ 2, Φ2 with respect to Young functions Φ1, Φ2 and parameters φ 1, φ 2. Also, we give sufficient and necessary conditions for the inclusion property of these spaces, which are obtained through norm estimates for the characteristic functions of balls in n. In addition, we shall give a sufficient and necessary condition for generalized Hölder’s inequality.
Author keywords
Characteristic functions,Generalized h,Inclusion properties,Inclusion relation,Norm estimates,Orlicz spaces,Sufficient and necessary condition,Young functions
Indexed keywords
Funding details
The first and second authors are supported by ITB Research and Innovation Program 2016.