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arXiv:1601.06776 [math.FA]AbstractReferencesReviewsResources

Composition operators on Orlicz-Sobolev spaces

Ratan Kumar Giri, Debajyoti Choudhuri

Published 2016-01-25Version 1

The kernel of composition operator $C_T$ on Orlicz-Sobolev space is obtained. Using the kernel, a necessary and a sufficient condition for injectivity of composition operator $C_T$ has been established. Composition operators on Orlicz-Sobolev space with finite ascent as well as infinite ascent have been characterized.

Categories: math.FA, math.AP
Subjects: 47B33, 46E30, 46E35
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