Transferring $L^p$ multipliers

Anthony H. Dooley

Displaying similar documents to “Transferring $L^{p}$ multipliers”

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We give a Hörmander-type sufficient condition on an operator-valued function M that implies the L-boundedness result for the operator T defined by (Tf)^ = Mf^ on the (2n + 1)-dimensional Heisenberg group H. Here ^ denotes the Fourier transform on H defined in terms of the Fock representations. We also show the H-L boundedness of T, ||Tf|| ≤ C||f||, for H under the same hypotheses of L-boundedness.

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Displaying similar documents to “Transferring L p multipliers”

Displaying similar documents to “Transferring $L^{p}$ multipliers”