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.

Авторы
Stepanov V.D. 1 , Shambilova G.E. 2
Журнал
Siberian Mathematical Journal
Номер выпуска
3
Язык
Английский
Страницы
505-522
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1134/S0037446618030138
Том
59
Год
2018
Организации
  • 1 Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russian Federation
  • 2 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Ключевые слова
cone of monotone functions; quasilinear integral operator; weighted Lebesgue space
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