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Contemporary Mathematics. Fundamental Directions, 2022, Volume 68, Issue 1, Pages 178–189
DOI: https://doi.org/10.22363/2413-3639-2022-68-1-178-189
(Mi cmfd461)
 

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
References:
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.
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Yak22}
\by M.~U.~Yakhshiboyev
\paper On boundedness of fractional Hadamard integration and Hadamard-type integration in Lebesgue spaces with mixed norm
\inbook Science — Technology — Education — Mathematics — Medicine
\serial CMFD
\yr 2022
\vol 68
\issue 1
\pages 178--189
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd461}
\crossref{https://doi.org/10.22363/2413-3639-2022-68-1-178-189}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4422566}
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