Radial Fourier multipliers in high dimensions |
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| Authors: | Yaryong Heo Fëdor Nazarov Andreas Seeger |
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| Affiliation: | 1.Department of Mathematics,University of Wisconsin, Madison,Madison,U.S.A.;2.Department of Mathematics,Korea University,Seoul,Republic of Korea |
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| Abstract: | Given a fixed p≠2, we prove a simple and effective characterization of all radial multipliers of FLp( mathbbRd ) mathcal{F}{L^p}left( {{mathbb{R}^d}} right) , provided that the dimension d is sufficiently large. The method also yields new L q space-time regularity results for solutions of the wave equation in high dimensions. |
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