Mathematics – Classical Analysis and ODEs
Scientific paper
2010-01-15
Journal of Geometric Analysis, Vol 21 (2011), issue 1, 96-117
Mathematics
Classical Analysis and ODEs
Scientific paper
We investigate connections between radial Fourier multipliers on $R^d$ and
certain conical Fourier multipliers on $R^{d+1}$. As an application we obtain a
new weak type endpoint bound for the Bochner-Riesz multipliers associated to
the light cone in $R^{d+1}$, where $d\ge 4$, and results on characterizations
of $L^p\to L^{p,\nu}$ inequalities for convolutions with radial kernels.
Heo Yaryong
Nazarov Fedor
Seeger Andreas
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