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Contemporary Mathematics. Fundamental Directions, 2021, Volume 67, Issue 3, Pages 472–482
DOI: https://doi.org/10.22363/2413-3639-2021-67-3-472-482 (Mi cmfd429) 		 
On Holder's inequality in Lebesgue spaces with variable order of summability

V. I. Burenkovab, T. V. Tararykovaab

a Peoples' Friendship University of Russia (RUDN University), Moscow, Russia
b Cardiff University, Cardiff, UK
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DOI: https://doi.org/10.22363/2413-3639-2021-67-3-472-482
Abstract: In this paper, we introduce a new version of the definition of a quasi-norm (in particular, a norm) in Lebesgue spaces with variable order of summability. Using it, we prove an analogue of Hölder's inequality for such spaces, which is more general and more precise than those known earlier.
Document Type: Article
UDC: 517.518
Language: Russian
Citation: V. I. Burenkov, T. V. Tararykova, “On Holder's inequality in Lebesgue spaces with variable order of summability”, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, CMFD, 67, no. 3, PFUR, M., 2021, 472–482
Citation in format AMSBIB
\Bibitem{BurTar21}
\by V.~I.~Burenkov, T.~V.~Tararykova
\paper On Holder's inequality in Lebesgue spaces with variable order of summability
\inbook Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov
\serial CMFD
\yr 2021
\vol 67
\issue 3
\pages 472--482
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd429}
\crossref{https://doi.org/10.22363/2413-3639-2021-67-3-472-482}
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