4 papers · 1 filter
Finner-like inequalities in the Heisenberg group
Kaiyi Huang
We completely characterize the range of -boundedness of certain multilinear Radon-like transforms involving vertical projections in the Heisenberg group.
Incidences among flows
Kaiyi Huang, Betsy Stovall, Sarah Tammen
We consider two incidence problems for integral curves of vector fields. The first is an analogue of the Euclidean joints problem, in which lines are replaced by integral curves of…
Inequalities of Brascamp-Lieb type on the Heisenberg group
Kaiyi Huang, Betsy Stovall
We prove both necessary and sufficient conditions for -bound\-ed\-ness of certain multilinear generalized Radon transforms that arise as Heisenberg group analogues of the Bras…
A Study Guide for "A Restriction Estimate using Polynomial Partitioning"
John Green, Terry Harris, Kaiyi Huang +1
This manuscript is intended as an accompaniment to Guth's "A restriction estimate using polynomial partitioning". We begin by summarizing the core ideas of the proof, elaborating t…