You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
K-Divisibility and a Theorem of Lorentz and Shimogaki
Colin Bennett and Robert Sharpley
Proceedings of the American Mathematical Society
Vol. 96, No. 4 (Apr., 1986), pp. 585-592
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2046308
Page Count: 8
You can always find the topics here!Topics: Mathematical theorems, Mathematical functions, Decreasing functions, Interpolation, Abstract spaces, Step functions, Approximation
Were these topics helpful?See somethings inaccurate? Let us know!
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
The Brudnyi-Krugljak theorem on the K-divisibility of Gagliardo couples is derived by elementary means from earlier results of Lorentz-Shimogaki on equimeasurable rearrangements of measurable functions. A slightly stronger form of Calderón's theorem describing the Hardy-Littlewood-Pólya relation in terms of substochastic operators (which itself generalizes the classical Hardy-Littlewood-Pólya result for substochastic matrices) is obtained.
Proceedings of the American Mathematical Society © 1986 American Mathematical Society