|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Functional Inequalities for Stable-Like Dirichlet Forms | | Feng-Yu Wang
; Jian Wang
; | | Date: |
21 May 2012 | | Abstract: | Let $Vin C^2(R^d)$ such that $mu_V(d x):= e^{-V(x)},d x$ is a
probability measure, and let $aain (0,2)$. Explicit criteria are presented
for the $aa$-stable-like Dirichlet form $$E_{aa,V}(f,f):=
int_{R^d imesR^d} ff{|f(x)-f(y)|^2}{|x-y|^{d+alpha}},d
y,e^{-V(x)},d x$$ to satisfy Poincar’e-type (i.e., Poincar’e, weak
Poincar’e and super Poincar’e) inequalities. As applications, sharp
functional inequalities are derived for the Dirichlet form with $V$ having some
typical growths. Finally, the main result of cite{MRS} on the Poincar’e
inequality is strengthened | | Source: | arXiv, 1205.4508 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER