Abstract
This paper is devoted to present a version of horizontal weighted Hardy–Rellich type inequality on stratified Lie groups and study some of its consequences. In particular, Sobolev type spaces are defined on stratified Lie groups and proved embedding theorems for these functional spaces.
Original language | English |
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Pages (from-to) | 1469-1480 |
Number of pages | 12 |
Journal | Complex Analysis and Operator Theory |
Volume | 12 |
Issue number | 6 |
DOIs | |
Publication status | Published - Aug 1 2018 |
Externally published | Yes |
Keywords
- Caffarelli–Kohn–Nirenberg inequality
- Embedding theorem
- Hardy–Rellich inequality
- Horizontal estimate
- Sobolev type spaces
- Stratified group
ASJC Scopus subject areas
- Computational Mathematics
- Computational Theory and Mathematics
- Applied Mathematics