Mathematics – Classical Analysis and ODEs
Scientific paper
2009-02-05
Acta Mathematica, 206, No 1 (2011), 55-92
Mathematics
Classical Analysis and ODEs
Some changes in the last section
Scientific paper
Given a fixed $p\neq 2$, we prove a simple and effective characterization of
all radial multipliers of $\cF L^p(\Bbb R^d)$, 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.
Heo Yaryong
Nazarov Fedor
Seeger Andreas
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