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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.
Citation:
M. U. Yakhshiboyev, “On boundedness of fractional Hadamard integration and Hadamard-type integration in Lebesgue spaces with mixed norm”, Science — Technology — Education — Mathematics — Medicine, CMFD, 68, no. 1, PFUR, M., 2022, 178–189
Linking options:
https://www.mathnet.ru/eng/cmfd461 https://www.mathnet.ru/eng/cmfd/v68/i1/p178
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