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 $\mathbb{C}^{n}\times \mathbb{R}$ implicitly.
On the Boundedness of the Carleson Operator near $L^1$
On The Boundedness of Bi-parameter Littlewood-Paley $g_λ^{*}$-function
Boundedness of the square function and rectifiability
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