Geodesic
On boundedness of fractional Hadamard integration and Hadamard-type integration in Lebesgue spaces with mixed norm
Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 178-189

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In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm. We prove Sobolev-type theorems of boundedness of one-dimensional and multidimensional Hadamard-type fractional integration in weighted Lebesgue spaces with mixed norm. 
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     author = {M. U. Yakhshiboyev},
     title = {On boundedness of fractional {Hadamard} integration and {Hadamard-type} integration in {Lebesgue} spaces with mixed norm},
     journal = {Contemporary Mathematics. Fundamental Directions},
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     publisher = {mathdoc},
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     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a13/}
}
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M. U. Yakhshiboyev. On boundedness of fractional Hadamard integration and Hadamard-type integration in Lebesgue spaces with mixed norm. Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 178-189. http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a13/