Lp multipliers and their H1-L1 estimates on the Heisenberg group

Autores: Ch. Lin
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 11, Nº 2, 1995, págs. 269-308
Idioma: inglés
Títulos paralelos:
- Multiplicadores Lp y sus estimadores H1-L1 sobre el grupo de Heisenberg.
Enlaces
- Texto completo (pdf)
Resumen
- We give a Hörmander-type sufficient condition on an operator-valued function M that implies the Lp-boundedness result for the operator TM defined by (TMf)^ = Mf^ on the (2n + 1)-dimensional Heisenberg group Hn. Here ^ denotes the Fourier transform on Hn defined in terms of the Fock representations. We also show the H1-L1 boundedness of TM, ||TMf||L1 = C||f||H1, for Hn under the same hypotheses of Lp-boundedness.