ABSTRACT
Example 7. Let Fp(u) = |u|p ln(l + |u|) with 2 < p < ¥, as in Example 3. It is seen from Theorem 3 (B1) that
J(l(Fp) = 2P/P+1 .
Example 8.(Yan [13]) Consider Y(v) = e|n| – |n| – 1, complementary to F(u) in Example 4. Since Y'(s) = es – 1 is convex on IR+ and FY(s) = sY'(s)/Y(s) is increasing on (0,¥), by Theorem 3 (B2) one obtains
J(l(Y)) = 2Y –1(1/2)
References
1. Chen, S. T., Geometry of Orlicz Spaces, Dissertationes Math., 356(1996), 1-204.
