| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5774689 | Journal of Mathematical Analysis and Applications | 2018 | 19 Pages |
Abstract
In this paper, based on the Caffarelli-Kohn-Nirenberg inequalities on the Euclidean space and the weighted Hölder inequality, we establish the logarithmic Caffarelli-Kohn-Nirenberg inequalities and parameter type logarithmic Caffarelli-Kohn-Nirenberg inequalities, and give applications for the weighted ultracontractivity of positive strong solutions to a kind of evolution equations. We also prove corresponding logarithmic Caffarelli-Kohn-Nirenberg inequalities and parameter type logarithmic Caffarelli-Kohn-Nirenberg inequalities on the Heisenberg group and related to generalized Baouendi-Grushin vector fields. Some applications are provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tingfu Feng, Pengcheng Niu, Jing Qiao,