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arXiv · 1601.06776

Composition operators on Orlicz-Sobolev spaces

Ratan Kumar Giri·Debajyoti Choudhuri
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Abstract

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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Ratan Kumar Giri, Debajyoti Choudhuri. 2016-01-25. Composition operators on Orlicz-Sobolev spaces. https://arxiv.org/abs/1601.06776

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