Abstract
In this note we introduce and prove local and potential independent transportation, Log-Sobolev and HWI inequalities in one-dimensional free probability on compact intervals which are sharp. We recover using this approach a free transportation inequality on the whole real line which was put forward recently by Maïda and Maurel-Segala (2012) [10]. Our method is based on the operator theoretic approach developed by Ledoux and Popescu [7] to deal with the free Poincaré inequality.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
