摘要
设φ:X→X是非奇异变换,Ψ是Orlicz函数,(X,∑,μ)是完备的σ-有限测度空间.本文利用Radon-Nikodym导数(dμoφ~(-1))/dμ刻画了Orlicz空间上紧的复合算子C_φ,同时给出了该空间上有界复合算子完全连续的充要条件.
Let φ:X→X be a non-singular transformation,Ψ be an Orlicz function and(X,∑,μ) a complete σ-finite measure space.In this paper,by using Radon-Nikodym derivative(dμoφ~(-1))/dμ,the compact composition operator C_φf =foφ on Orlicz space L~Ψ(μ) is characterized.The sufficient and necessary condition for the bounded composition operator to be completely continuous is obtained.
引文
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