Reduction of Weighted Bilinear Inequalities with Integration Operators on the Cone of Nondecreasing Functions

We present the reduction methods for characterizing bilinear weighted inequalities on the Lebesgue cones of nondecreasing functions on a half-axis with integration operators. © 2018, Pleiades Publishing, Ltd.

Authors
Stepanov V.D. 1 , Shambilova G.E. 2
Journal
Siberian Mathematical Journal
Issue number
3
Language
English
Pages
505-522
State
Published
Link
External link
DOI
10.1134/S0037446618030138
Volume
59
Year
2018
Organizations
  • 1 Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russian Federation
  • 2 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
cone of monotone functions; quasilinear integral operator; weighted Lebesgue space
Cite
ГОСТ MLA RIS BibTex
Share

Other records