Finner-like inequalities in the Heisenberg group
Kaiyi Huang
TL;DR
This paper characterizes the conditions under which certain multilinear Radon-like transforms involving vertical projections are bounded on L^p spaces within the Heisenberg group, advancing understanding of harmonic analysis in this setting.
Contribution
It provides a complete characterization of L^p-boundedness for a class of multilinear Radon-like transforms in the Heisenberg group, a novel result in harmonic analysis.
Findings
Complete L^p-boundedness characterization for Radon-like transforms
Advances understanding of harmonic analysis in the Heisenberg group
Identifies precise conditions for boundedness in this setting
Abstract
We completely characterize the range of -boundedness of certain multilinear Radon-like transforms involving vertical projections in the Heisenberg group.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research · Geometric Analysis and Curvature Flows