A partial differential equation characterization of anisotropic Hardy spaces

Marcin Bownik and Li‐An Daniel Wang

Mathematische Nachrichten, 2023, vol. 296, issue 6, 2258-2275

Abstract: We obtain a differential characterization for the anisotropic Hardy space HAp$H_A^p$ by identifying it with a parabolic Hardy space associated with a general continuous group. This allows HAp$H_A^p$ to be defined using a parabolic differential equation of Calderón and Torchinsky. We also provide a classification of dilations corresponding to equivalent anisotropic Hardy spaces with respect to linear transformations.

Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.202100368

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:296:y:2023:i:6:p:2258-2275

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 ().