文中证明了在0rlicz空间中,对任何P〉1,都有||x||M,p〉||x||M,并且下面三个条件等价:(1)inf||x||M,p^2:||x||M=1};(2)sup||x||M:||x||M,p=1}〈1;(3)M∈△2△2.%For any u ∈ LM^* ,p 〉 1, ||x||M,p〉||x||M Mwas presented. And it was showed that the following threeconmnons are equlvatent:(1)inf||x||M,p:||x||M=1}〉1);2)supl ||x ||M:||x||M,p = 1} 〈 1; (3)(3)M∈△2△2.
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