Revisiting Riesz transforms on Heisenberg groups
Functional Analysis
2011-10-17 v1
Abstract
We characterise higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. Using transfer- ence theorems, we deduce boundedness theorems for Riesz trans- forms on the reduced Heisenberg group and hence also for the Riesz transforms associated to multiple Hermite and Laguerre ex- pansions.
Cite
@article{arxiv.1110.3236,
title = {Revisiting Riesz transforms on Heisenberg groups},
author = {P. K. Sanjay and S. Thangavelu},
journal= {arXiv preprint arXiv:1110.3236},
year = {2011}
}
Comments
19 pages. To appear in Revista Math. Ibero