Abstract
The Lp (where 1≤p≤∞) centroid bodies with respect to weights that are powers of the distance to the origin (i.e., |x|ℓ with ℓ>−n) and their associated isoperimetric inequality (i.e., the polar Lp Busemann-Petty centroid inequality) are introduced in this paper. By means of Ball's body, a corresponding functional version of the polar Lp Busemann-Petty centroid inequality will be also studied.
Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
