Composition operators on Orlicz-Sobolev spaces

2016/01/25 by Ratan Kumar Giri, Debajyoti Choudhuri, Giri, Ratan Kumar +1
Mathematics · #46E30 #46E35 #47B33 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #math.AP #math.FA #msc:46E30 #msc:46E35 #msc:47B33

paper · pdf · doi:10.48550/arxiv.1601.06776

arxiv created 2016/01/25 · arxiv updated 2016/01/27

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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