The dual spaces of martingale Hardy-Lorentz spaces (Q2834160)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The dual spaces of martingale Hardy-Lorentz spaces |
scientific article; zbMATH DE number 6656642
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The dual spaces of martingale Hardy-Lorentz spaces |
scientific article; zbMATH DE number 6656642 |
Statements
25 November 2016
0 references
martingale space
0 references
Hardy-Lorentz space
0 references
Lipschitz space
0 references
BMO space
0 references
atomic decomposition
0 references
The dual spaces of martingale Hardy-Lorentz spaces (English)
0 references
Using atomic decomposition, the author characterizes the dual spaces of martingale Hardy-Lorentz spaces \(H_{p,q}^s\) as the Lipschitz spaces \(\Lambda_2(\alpha)\), where \(0<p<1\), \(0<q\leq 1\) and \(\alpha=1/p-1\). In this paper, some earlier results (see, e.g. [\textit{C. E. M. Pearce} et al., Numer. Algebra Control Optim. 2, No. 2, 333--355 (2012; Zbl 1274.60134)]) are generalized.
0 references
