A note on self-extremal sets in Lp(Ω) spaces

We give a necessary condition for a set in Lp(Ω) spaces (1<p<∞) to be self-extremal that partially extends our previous results to the case of Lp spaces. Examples of self-extremal sets in Lp(Ω)(1<p<∞) are also given.

Bibliographic Details
Main Authors: Viet Nguyen-Khac, Khiem Nguyen-Van
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3521