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Fourier multipliers
for Lp(ℝn) via
q-variation
Quanhua Xu |
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Vol. 176 (1996), No. 1, 287–296
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Abstract |
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We give a new sufficient condition for a function to be a Fourier multiplier of Lp(ℝn) via its q-variation on dyadic rectangles. This solves a problem posed by Coifman, Rubio de Francia and Semmes, who had considered the one-dimensional case. |
Mathematical Subject Classification 2000
Primary: 42B15
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Milestones
Received: 8 June 1994
Revised: 23 June 1995
Published: 1 November 1996
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Authors |
| Quanhua Xu | |
| Laboratoire de Mathématiques de
Besançon Université de Franche-Comté 25030 Besançon France |
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| http://lmb.univ-fcomte.fr/rubrique.php3?id_rubrique=6 | |
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