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We also prove an $L^p$ characterization for radial Fourier multipliers in four dimensions; namely, for radial Fourier multipliers $m: \\mathbb{R}^4\\to\\mathbb{C}$ supported compactly away from the origin, $T_m$ is bounded on $L^p(\\mathbb{R}^4)$ if and only if $K=\\hat{m}$ is in $L^p(\\mathbb{R}^4)$, in the range $1<p<\\frac{36}{29}$. 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We also prove an $L^p$ characterization for radial Fourier multipliers in four dimensions; namely, for radial Fourier multipliers $m: \\mathbb{R}^4\\to\\mathbb{C}$ supported compactly away from the origin, $T_m$ is bounded on $L^p(\\mathbb{R}^4)$ if and only if $K=\\hat{m}$ is in $L^p(\\mathbb{R}^4)$, in the range $1<p<\\frac{36}{29}$. 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