Trigonometric Multipliers on H 2π
Canadian mathematical bulletin, Tome 48 (2005) no. 3, pp. 370-381

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we consider multipliers on the real Hardy space ${{H}_{2\pi }}$ . It is known that the Marcinkiewicz and the Hörmander–Mihlin conditions are sufficient for the corresponding trigonometric multiplier to be bounded on $L_{2\pi }^{p},1 . We show among others that the Hörmander– Mihlin condition extends to ${{H}_{2\pi }}$ but the Marcinkiewicz condition does not.
DOI : 10.4153/CMB-2005-034-5
Mots-clés : 42A45;, 42A50, 42A85, Multipliers, Hardy space
Daly, J. E.; Fridli, S. Trigonometric Multipliers on H 2π. Canadian mathematical bulletin, Tome 48 (2005) no. 3, pp. 370-381. doi: 10.4153/CMB-2005-034-5
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