Composition operators on Orlicz-Sobolev spaces
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...
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| Zusammenfassung: | 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. |
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| DOI: | 10.48550/arxiv.1601.06776 |