Journal of Prime Research in Mathematics
Vol. 1 (2012), Issue 1, pp. 36 – 44
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
Boyd indices for quasi-normed rearrangement invariant spaces
G. E. Karadzhov
Insitute of Mathematics and Informatics, Bulgarian Academy of Sciences and Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan.
\(^{1}\)Corresponding Author: geremika@yahoo.com
Copyright © 2012 G. E. Karadzhov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2012.
Abstract
We calculate the Boyd indices for the sum and intersection of two quasi-normed rearrangement invariant spaces. An application to Lorentz type spaces is also given.
Keywords:
Rearrangement invariant function spaces, Boyd indices, interpolation spaces.