New progress on weighted Trudinger-Moser and Gagliardo-Nirenberg, and critical Hardy inequalities on stratified groups. (English) Zbl 1436.46041
Boggiatto, Paolo (ed.) et al., Landscapes of time-frequency analysis. Based on talks given at the inaugural conference on aspects of time-frequency analysis, Turin, Italy, July 5–7, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 277-289 (2019).
Summary: In this paper, we present a summary of our recent research on local and global weighted (singular) Trudinger-Moser inequalities with remainder terms, critical Hardy-type and weighted Gagliardo-Nirenberg inequalities on general stratified groups. These include the cases of \(\mathbb{R}^n\) and Heisenberg groups. Moreover, the described critical Hardy-type inequalities give the critical case of the Hardy-type inequalities from [P. Ciatti et al., Adv. Math. 277, 365–387 (2015; Zbl 1322.22010)].
For the entire collection see [Zbl 1411.35009].
For the entire collection see [Zbl 1411.35009].
MSC:
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
| 22E30 | Analysis on real and complex Lie groups |
| 43A80 | Analysis on other specific Lie groups |
Citations:
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