Open Access
2010 Conditional multipliers and essential norm of $uC_\varphi$ between $L^p$ spaces
M. R. Jabbarzadeh
Banach J. Math. Anal. 4(2): 158-168 (2010). DOI: 10.15352/bjma/1297117250

Abstract

In this paper the conditional multipliers acting between $L^p$ spaces are characterized by using some properties of conditional expectation operator. Also, we determine the essential norm of $uC_\varphi$ on $L^p$ for $p \in (1,\infty)$.

Citation

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M. R. Jabbarzadeh. "Conditional multipliers and essential norm of $uC_\varphi$ between $L^p$ spaces." Banach J. Math. Anal. 4 (2) 158 - 168, 2010. https://doi.org/10.15352/bjma/1297117250

Information

Published: 2010
First available in Project Euclid: 7 February 2011

zbMATH: 1200.47029
MathSciNet: MR2610887
Digital Object Identifier: 10.15352/bjma/1297117250

Subjects:
Primary: 47B20
Secondary: 47B38

Keywords: conditional expectation , essential norm , multiplication operator , Multiplier , Weighted composition operator

Rights: Copyright © 2010 Tusi Mathematical Research Group

Vol.4 • No. 2 • 2010
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