Abstract

It is shown that for each 0 < p < q < oo the space 1/(0, oo) + L9(09 oo), defined as in Interpellation Theory, is universal for the class of all Orlicz function spaces Lψ with Boyd indices strictly between p and q (i.e. every Orlicz function space Lψ is orderisomorphically embedded into L p (0, oo) + Lq(0, oo)). The extreme case of spaces having Boyd indices equal to p or q is also studied. In particular every space Z/(0, oo) + Ls(0, oo) embeds isomorphically into the sum Lp(0, oo) +Lq(0, oo) for any 0</;<r<5<^<oo. 0. Introduction. It is a well-known fact from Interpolation Theory

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.