We prove that the classical one-parameter convolution singular integrals on the Heisenberg group are bounded on multiparameter flag Hardy spaces, which satisfy `intermediate' dilation between the one-parameter anisotropic dilation and the product dilation on Cn×R implicitly.
@article{arxiv.1702.07201,
title = {Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group},
author = {Guorong Hu and Ji Li},
journal= {arXiv preprint arXiv:1702.07201},
year = {2017}
}