Inequalities and properties of some generalized Orlicz classes and spaces
2007 (English)In: Acta Mathematica Hungarica, ISSN 0236-5294, E-ISSN 1588-2632, Vol. 117, no 1-2, 161-174 p.Article in journal (Refereed) Published
We discuss and complement the knowledge about generalized Orlicz classes and Orlicz spaces X Φ obtained by replacing the space L 1 in the classical construction by an arbitrary Banach function space X. Our main aim is to focus on the task to study inequalities in such spaces. We prove a number of new inequalities and also natural generalizations of some classical ones (e.g., Minkowski’s, Hölder’s and Young’s inequalities). Moreover, a number of other basic facts for further study of inequalities and function spaces are included.
Place, publisher, year, edition, pages
2007. Vol. 117, no 1-2, 161-174 p.
inequalities, function spaces, Orlicz class, Orlicz space, Luxemburg norm, Banach function space, Young function, Young’s inequality, Minkowski’s inequality, Hölder’s inequality
IdentifiersURN: urn:nbn:se:uu:diva-14158DOI: 10.1007/s10474-007-6083-9OAI: oai:DiVA.org:uu-14158DiVA: diva2:41928