L2 and Hp boundedness of strongly singular operators and oscillating operators on Heisenberg groups
Functional Analysis
2013-09-10 v4
Abstract
In the first part, we obtain sharp results for L^2 boundedness of strongly singular operators on the Heisenberg group. We also define the oscillating convolution operators on the Heisenberg group and study their boundedness properties. In the second part, we obtain the boundedness on Hardy spaces.
Keywords
Cite
@article{arxiv.1205.1185,
title = {L2 and Hp boundedness of strongly singular operators and oscillating operators on Heisenberg groups},
author = {Woocheol Choi},
journal= {arXiv preprint arXiv:1205.1185},
year = {2013}
}
Comments
25 pages, This paper includes the author's paper 'arXiv:1204.5654', to appear in forum mathematicum