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

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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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     title = {Trigonometric {Multipliers} on {H} 2\ensuremath{\pi}},
     journal = {Canadian mathematical bulletin},
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     year = {2005},
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     doi = {10.4153/CMB-2005-034-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-034-5/}
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