Trigonometric Multipliers on H2 pi

• Autores: S. Fridli, J.E. Daly
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 48, Nº 3, 2005, págs. 370-381
• Idioma: inglés
• DOI: 10.4153/cmb-2005-034-5
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• Resumen

  • In this paper we consider multipliers on the real Hardy space H2 p. It is known that the Marcinkiewicz and the Hörmander¿Mihlin conditions are sufficient for the corresponding trigonometric multiplier to be bounded on L2 pp, 1 < p < 8. We show among others that the Hörmander¿Mihlin condition extends to H2 p but the Marcinkiewicz condition does not.