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Multipliers of Fourier integrals and bounds of convolution in spaces with mixed norms. Applications
Izvestiya. Mathematics , Tome 4 (1970) no. 1, pp. 225-255

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Multipliers of Fourier integrals and estimates of integrals of potential type in spaces with mixed norms $L_{\vec{p}}$ are considered in this paper. As applications we prove theorems of imbedding type for spaces of Bessel potentials with density from $L_{\vec{p}}$. 
@article{IM2_1970_4_1_a12,
     author = {P. I. Lizorkin},
     title = {Multipliers of {Fourier} integrals and bounds of convolution in spaces with mixed norms. {Applications}},
     journal = {Izvestiya. Mathematics },
     pages = {225--255},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_1_a12/}
}
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P. I. Lizorkin. Multipliers of Fourier integrals and bounds of convolution in spaces with mixed norms. Applications. Izvestiya. Mathematics , Tome 4 (1970) no. 1, pp. 225-255. http://geodesic.mathdoc.fr/item/IM2_1970_4_1_a12/