Inequalities of Brascamp–Lieb type on the Heisenberg group
Abstract We prove both necessary and sufficient conditions for $$L^p$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:math> -boundedness of certain multilinear generalized Radon transforms that arise as Heisenberg group analogues of the Brascamp–Lieb inequalities on Euclidean space. The necessary and sufficient conditions coincide in some important special cases, but differ in others.
Authors
- Betsy Stovall (ORCID: https://orcid.org/0000-0001-6447-8386)
- Kai-Yi Huang (ORCID: https://orcid.org/0009-0003-7625-6678)
Institutions
- University of Wisconsin–Madison (US)
Publication Details
- Journal
- Mathematische Zeitschrift
- Published
- 2025-10-27
- DOI
- https://doi.org/10.1007/s00209-025-03889-2
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Wisconsin Alumni Research Foundation
- Science Foundation Ireland