Multidimensional Hardy Type Inequalities with Remainders
- Авторы: Nasibullin R.1
-
Учреждения:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- Выпуск: Том 40, № 9 (2019)
- Страницы: 1383-1396
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205539
- DOI: https://doi.org/10.1134/S1995080219090166
- ID: 205539
Цитировать
Аннотация
Hardy type inequalities with an additional nonnegative-term are established for compactly supported smooth functions on arbitrary open subsets and on convex domains of the Euclidean space. We prove Hardy-type inequalities in spatial domains with finite inner radius. Weight functions depend on the distance function to the boundary of the domain. We obtain one-dimensional L1-inequalities. In particular cases we obtained sharp constants. Also new Hardy type inequality with remainders for the Riemann-Liouville fractional integrals is proved.
Ключевые слова
Об авторах
R. Nasibullin
N.I. Lobachevskii Institute of Mathematics and Mechanics
Автор, ответственный за переписку.
Email: NasibullinRamil@gmail.com
Россия, Kazan, Tatarstan, 420008