Composition operators on Orlicz-Sobolev spaces
Functional Analysis
2016-01-27 v1 Analysis of PDEs
Abstract
The kernel of composition operator on Orlicz-Sobolev space is obtained. Using the kernel, a necessary and a sufficient condition for injectivity of composition operator has been established. Composition operators on Orlicz-Sobolev space with finite ascent as well as infinite ascent have been characterized.
Cite
@article{arxiv.1601.06776,
title = {Composition operators on Orlicz-Sobolev spaces},
author = {Ratan Kumar Giri and Debajyoti Choudhuri},
journal= {arXiv preprint arXiv:1601.06776},
year = {2016}
}