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We prove that the classical one-parameter convolution singular integrals onthe Heisenberg group are bounded on multiparameter flag Hardy spaces, whichsatisfy `intermediate' dilation between the one-parameter anisotropic dilationand the product dilation on $\mathbb{C}^{n}\times \mathbb{R}$ implicitly.

Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group