Hardy inequality with three measures on monotone functions
Characterization of Lv p[0, ∞) - L μ q[O, ∞) boundedness of the general Hardy operator (Hsf)(x) =(∫[0,x] fsudλ) 1/s restricted to monotone functions f ≥ 0 for 0 < p.q.s < ∞ with positive Borel σ -finite measures λ, μ and v is obtained.
Авторы
Johansson M.1
,
Stepanov V.D.
2
,
Ushakova E.P.3,
4
Издательство
Element D.O.O.
Номер выпуска
3
Язык
Английский
Страницы
393-413
Статус
Опубликовано
Ссылка
Том
11
Год
2008
Организации
- 1 Department of Mathematics, Luleå University of Technology, SE-97187 Luleå, Sweden
- 2 Department of Mathematical Analysis and Function Theory, Peoples Friendship University, 117198 Moscow, Russian Federation
- 3 Computing Centre of Far Eastern Branch, Russian Academy of Sciences, 680000 Khabarovsk, Russian Federation
- 4 Department of Mathematics, Uppsåla University, SE-751 06 Uppsåla, Sweden
Ключевые слова
Hardy operator; Integral inequalities; Measures; Monotone functions; Weights
Дата создания
19.10.2018
Дата изменения
19.10.2018