Email this article Exact Calculation of Sums of the Lorentz Spaces Λα and Applications
- Authors: Berezhnoi E.I.1
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Affiliations:
- Demidov Yaroslavl State University
- Issue: Vol 104, No 5-6 (2018)
- Pages: 628-635
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151461
- DOI: https://doi.org/10.1134/S0001434618110020
- ID: 151461
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Abstract
The norm on the sum of Lorentz spaces endowed with norms equal to the products of the classical norm by some numbers is exactly calculated. The obtained result makes it possible to prove an extrapolation theorem for collections of Lorentz, Lebesgue, and Marcinkiewicz spaces with a sharp constant.
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About the authors
E. I. Berezhnoi
Demidov Yaroslavl State University
Author for correspondence.
Email: ber@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000
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