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. We show among others that the Hörmander– Mihlin condition extends to ${{H}_{2\pi }}$ but the Marcinkiewicz condition does not.
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
@article{10_4153_CMB_2005_034_5,
author = {Daly, J. E. and Fridli, S.},
title = {Trigonometric {Multipliers} on {H} 2\ensuremath{\pi}},
journal = {Canadian mathematical bulletin},
pages = {370--381},
year = {2005},
volume = {48},
number = {3},
doi = {10.4153/CMB-2005-034-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-034-5/}
}
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