International Journal of Mathematics and Mathematical Sciences (Jan 2005)

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

  • Viet Nguyen-Khac,
  • Khiem Nguyen-Van

DOI
https://doi.org/10.1155/IJMMS.2005.3521
Journal volume & issue
Vol. 2005, no. 21
pp. 3521 – 3526

Abstract

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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.