Email this article Exact Calculation of Sums of Cones in Lorentz Spaces
- Authors: Berezhnoi E.I.1
-
Affiliations:
- Yaroslavl State University
- Issue: Vol 52, No 2 (2018)
- Pages: 134-138
- Section: Brief Communications
- URL: https://journals.rcsi.science/0016-2663/article/view/234457
- DOI: https://doi.org/10.1007/s10688-018-0218-3
- ID: 234457
Cite item
Open Access
Access granted
Subscription Access
Abstract
A method for exactly calculating norm on the sum of the cones of nonincreasing or concave functions in Lorentz spaces is proposed. The obtained result makes it possible to prove new extrapolation theorems for cones in Lorentz, Lebesgue, and Marcinkiewicz spaces with exact constants.
About the authors
E. I. Berezhnoi
Yaroslavl State University
Author for correspondence.
Email: ber@uniyar.ac.ru
Russian Federation, Yaroslavl
Supplementary files
