We give a Hörmander-type sufficient condition on an operator-valued function that implies the -boundedness result for the operator defined by (T_Mf^ = on the -dimensional Heisenberg group . Here "^" denotes the Fourier transform on defined in terms of the Fock representations. We also show the --boundedness of . , for under the same hypotheses of -boundedness.
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Chincheng Lin, multipliers and their - estimates on the Heisenberg group. Rev. Mat. Iberoam. 11 (1995), no. 2, pp. 269–308DOI 10.4171/RMI/173