On Holder’s Inequality in Lebesgue Spaces with Variable Order of Summability
- Authors: Burenkov V.I.1,2, Tararykova T.V.1,2
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Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Cardiff University
- Issue: Vol 67, No 3 (2021): Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov
- Pages: 472-482
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/28995
- DOI: https://doi.org/10.22363/2413-3639-2021-67-3-472-482
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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 Holder’s inequality for such spaces, which is more general and more precise than those known earlier.
About the authors
V. I. Burenkov
Peoples’ Friendship University of Russia (RUDN University); Cardiff University
Author for correspondence.
Email: Burenkov@cardiff.ac.uk
Moscow, Russia; Cardiff, UK
T. V. Tararykova
Peoples’ Friendship University of Russia (RUDN University); Cardiff University
Email: tararykovat@cardiff.ac.uk
Moscow, Russia; Cardiff, UK
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