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scientific article; zbMATH DE number 6270750
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scientific article; zbMATH DE number 6270750

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    17 March 2014
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    double Fourier transform of functions \(f \in L^p(\mathbb R^2)\)
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    \(1\leq p \leq 2\)
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    inversion formula
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    Hausdorff-Young inequality
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    Lebesgue integrability of \(\hat f\)
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    \(L^p\)-integral modulus of continuity
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    integral Lipschitz classes \(\text{Lip} (\alpha_1,\alpha_2)p\) \((0 < \alpha1,\alpha_2 \leq 1)\)
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    functions of bounded \(s\)-variation, \(s > 0\)
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