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On boundedness of fractional Hadamard integration and Hadamard-type integration in Lebesgue spaces with mixed norm

M. U. Yakhshiboyev

National University of Uzbekistan, Tashkent, Uzbekistan

Abstract: 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.

UDC: 517.983

DOI: 10.22363/2413-3639-2022-68-1-178-189

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