Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groups

In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted Lp-Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with sharp constants. Moreover, the equivalence of the Sobolev type inequality and Hardy inequality is shown in the L2-case. © 2017, The Author(s).

Авторы
Ruzhansky M.1 , Suragan D. 2, 3 , Yessirkegenov N.1, 2
Редакторы
-
Издательство
Birkhauser Verlag AG
Номер выпуска
5
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
Номер
56
Том
24
Год
2017
Организации
  • 1 Department of Mathematics, Imperial College London, 180 Queen’s Gate, London, SW7 2AZ, United Kingdom
  • 2 Institute of Mathematics and Mathematical Modelling, 125 Pushkin str., Almaty, 050010, Kazakhstan
  • 3 RUDN University, 6 Miklukho-Maklay str., Moscow, 117198, Russian Federation
Ключевые слова
Caffarelli–Kohn–Nirenberg inequality; Hardy inequality; Sobolev type inequality; Stratified Lie group
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/5300/