Abstract
We prove Lpcomp(R3) → Lps (R3) boundedness for averaging operators associated with a class of curves in the Heisenberg group H1 via L2 estimates for related oscillatory integrals and Bourgain-Demeter decoupling inequalities on the cone. We also construct a Sobolev space adapted to translations on the Heisenberg group to which these averaging operators map all Lp functions boundedly.
Original language | English (US) |
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Pages (from-to) | 819-855 |
Number of pages | 37 |
Journal | Indiana University Mathematics Journal |
Volume | 71 |
Issue number | 5 |
DOIs | |
State | Published - 2022 |
Funding
This research been supported in part by the National Science Foundation (grant no. DMS 1764295).
ASJC Scopus subject areas
- General Mathematics