Reduction of Weighted Bilinear Inequalities with Integration Operators on the Cone of Nondecreasing Functions
- Authors: Stepanov V.D.1, Shambilova G.E.2
-
Affiliations:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Peoples’ Friendship University of Russia
- Issue: Vol 59, No 3 (2018)
- Pages: 505-522
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171892
- DOI: https://doi.org/10.1134/S0037446618030138
- ID: 171892
Cite item
Abstract
We present the reduction methods for characterizing bilinear weighted inequalities on the Lebesgue cones of nondecreasing functions on a half-axis with integration operators.
About the authors
V. D. Stepanov
Steklov Mathematical Institute of the Russian Academy of Sciences
Author for correspondence.
Email: stepanov@mi.ras.ru
Russian Federation, Moscow
G. E. Shambilova
Peoples’ Friendship University of Russia
Email: stepanov@mi.ras.ru
Russian Federation, Moscow