aalto1 untyped-item.component.html
The space JNp: Nontriviality and duality
Loading...
Access rights
openAccess
acceptedVersion
URL
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Unless otherwise stated, all rights belong to the author. You may download, display and print this publication for Your own personal use. Commercial use is prohibited.
Date
Major/Subject
Mcode
Degree programme
Language
en
Pages
27
Series
Journal of Functional Analysis, Volume 275, issue 3, pp. 577-603
Abstract
We study a function space JNp based on a condition introduced by John and Nirenberg as a variant of BMO. It is known that Lp⊂JNp⊊Lp,∞, but otherwise the structure of JNp is largely a mystery. Our first main result is the construction of a function that belongs to JNp but not Lp, showing that the two spaces are not the same. Nevertheless, we prove that for monotone functions, the classes JNp and Lp do coincide. Our second main result describes JNp as the dual of a new Hardy kind of space HKp′ .
Description
Other note
Citation
Dafni, G, Hytönen, T, Korte, R & Yue, H 2018, 'The space JN p : Nontriviality and duality', Journal of Functional Analysis, vol. 275, no. 3, pp. 577-603. https://doi.org/10.1016/j.jfa.2018.05.007