A weighted hardy-type inequality for 0 < p < 1 with sharp constant

Hardy-type inequalities with sharp costants for 0 < p < 1 for power weight functions were established in [10], [5]. In this work, we give an extension of these inequalities for general weight functions, prove the existence of extremal functions and write them out explicitly.

Авторы
Azzouz N.1 , Burenkov V.I. 2, 3 , Senouci A.4
Издательство
Element D.O.O.
Номер выпуска
2
Язык
Английский
Страницы
787-799
Статус
Опубликовано
Том
18
Год
2015
Организации
  • 1 Department of technology sciences, Faculty of technology, Sidi Belabes, Algeria
  • 2 Department of mathematical analysis, Peoples' Friendship University of Russia, Miklukho Maklai St, Moscow, 117198, Russian Federation
  • 3 Cardiff School of Mathematics, Cardiff University, Senghennydd Rd, Cardiff, CF24 4AG, United Kingdom
  • 4 Department of Mathematics, Ibnou-Khaldoun University, Tiaret, Algeria
Ключевые слова
Hardy operator; Weighted Lp -spaces with 0 < p < 1
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4768/