Affiliation:
1. Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China
Abstract
The complex convexity of Musielak-Orlicz function spaces equipped with thep-Amemiya norm is mainly discussed. It is obtained that, for any Musielak-Orlicz function space equipped with thep-Amemiya norm when1≤p<∞, complex strongly extreme points of the unit ball coincide with complex extreme points of the unit ball. Moreover, criteria for them in above spaces are given. Criteria for complex strict convexity and complex midpoint locally uniform convexity of above spaces are also deduced.
Funder
Heilongjiang Provincial Natural Science Foundation for Youths
Subject
Applied Mathematics,Analysis
Cited by
3 articles.
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