Multiplication and composition operators between two Orlicz spaces

Yousef Estaremi

Multiplication and composition operators between two Orlicz spaces

Functional Analysis 2013-10-22 v2

Authors: Yousef Estaremi

Abstract

In this paper we consider composition operator $C_{\varphi} generated by nonsingular measurable transformation$ T $and multiplication operator$ M_u $generated by measurable function$ u $between two different Orlicz spaces, then we investigate boundedness, compactness and essential norm of multiplication and composition operators in term of properties of the mapping$ \varphi $, the function$ u $and the measure space$ (X, \Sigma, \mu)$.

Keywords

composition operators orlicz spaces operator theory

Cite

@article{arxiv.1301.4830,
  title  = {Multiplication and composition operators between two Orlicz spaces},
  author = {Yousef Estaremi},
  journal= {arXiv preprint arXiv:1301.4830},
  year   = {2013}
}

Comments

11pages

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