Abstract

In this note Lambert multipliers of the range of composition operators acting between different $L^p$ spaces are characterized by using some properties of conditional expectation operators. Also, necessary conditions for Fredholmness and normality of these type operators are investigated.

Keywords: Conditional expectation; multipliers; multiplication operators; weighted composition operators.

MSC: 47B20, 47B38

Pages:  191$-$199     

Volume  63 ,  Issue  3 ,  2011