Boundedness of quasilinear integral operators on the cone of monotone functions
- Authors: Stepanov V.D.1, Shambilova G.E.2
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Affiliations:
- Peoples’ Friendship University of Russia Steklov Institute of Mathematics
- Financial University Under the Government of the Russian Federation
- Issue: Vol 57, No 5 (2016)
- Pages: 884-904
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170778
- DOI: https://doi.org/10.1134/S0037446616050190
- ID: 170778
Cite item
Abstract
We study the problem of characterizing weighted inequalities on Lebesgue cones of monotone functions on the half-axis for one class of quasilinear integral operators.
About the authors
V. D. Stepanov
Peoples’ Friendship University of Russia Steklov Institute of Mathematics
Author for correspondence.
Email: stepanov@mi.ras.ru
Russian Federation, Moscow
G. E. Shambilova
Financial University Under the Government of the Russian Federation
Email: stepanov@mi.ras.ru
Russian Federation, Moscow