Weighted Hardy type inequalities for supremum operators on the cones of monotone functions

The complete characterization of the weighted Lp− Lr inequalities of supremum operators on the cones of monotone functions for all 0 < p, r≤ ∞ is given. © 2016, Persson et al.

Авторы
Persson L.-E. 1, 2 , Shambilova G.E. 3 , Stepanov V.D. 4
Journal
Journal of Inequalities and Applications
Издательство
Springer International Publishing
Номер выпуска
1
Язык
English
Статус
Published
Ссылка
Внешняя ссылка
DOI
10.1186/S13660-016-1168-Z
Номер
237
Том
2016
Год
2016
Организации
  • 1 Department of Engineering Sciences and Mathematics, Lulea University of Technology, Lulea, 97187, Sweden
  • 2 UiT, The Arctic University of Norway, P.O. Box 385, Narvik, 8505, Norway
  • 3 Department of Mathematics, Financial University under the Government of the Russian Federation, Leningradsky Prospekt 49, Moscow, 125993, Russian Federation
  • 4 Department of Nonlinear Analysis and Optimization, Peoples’ Friendship University of Russia, Miklukho-Maklay 6, Moscow, 117198, Russian Federation
Ключевые слова
Hardy type inequality; Lebesgue space; monotone function; supremum operator; weight
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