Two‐parameter B‐valued martingale Hardy–Lorentz–Karamata spaces: Inequalities and dualities

Zhiwei Hao, Lin Wang and Ferenc Weisz

Mathematische Nachrichten, 2025, vol. 298, issue 2, 677-708

Abstract: In this paper, we introduce five two‐parameter B$\mathbf {B}$‐valued martingale Hardy–Lorentz–Karamata spaces and establish some atomic decomposition theorems via atomic martingales as well as atomic functions. With the aid of atomic decompositions, we obtain some martingale inequalities and characterize the duals of these spaces. Our conclusions strongly depend on the geometric properties of the underlying Banach spaces and remove the restrictive condition that the slowly varying function b$b$ is nondecreasing as in the previous literature.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.202400204

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:298:y:2025:i:2:p:677-708

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().