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Composition operators in Orlicz spaces. (English) Zbl 1073.47032
The authors consider composition operators $$C_{\tau}$$ between Orlicz spaces $$L^{\phi}(X,\Sigma,\mu)$$, generated by measurable and non-singular transformations $$\tau$$ from $$\Omega$$ into itself. They characterize the boundedness and compactness of composition operators between Orlicz spaces in terms of properties of the mapping $$\tau$$, the function $$\phi$$ and the measure space $$(X,\Sigma,\mu)$$. These results generalize earlier results known for $$L^p$$-spaces.

##### MSC:
 47B33 Linear composition operators 47B07 Linear operators defined by compactness properties 46B70 Interpolation between normed linear spaces
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##### References:
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