Weighted mixed‐norm inequalities through extrapolation
Javier Duoandikoetxea and
Osane Oruetxebarria
Mathematische Nachrichten, 2019, vol. 292, issue 7, 1482-1489
Abstract:
We prove that operators satistying weighted inequalities with radial Ap weights are bounded in mixed‐norm spaces of radial‐angular type, even with a weight in the radial part. This is achieved by using the usual extrapolation methods, adapted to the radial setting. All the versions of the extrapolation theorem can be adapted to this setting, and in particular we get results in variable Lebesgue spaces and also for multilinear operators. Furthermore, quantitative estimates are obtained with this approach, but their sharpness remains an open question.
Date: 2019
References: Add references at CitEc
Citations:
Downloads: (external link)
https://doi.org/10.1002/mana.201800311
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:292:y:2019:i:7:p:1482-1489
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 ().