Some properties of MCE operators between different Orlicz spaces
Y.Estaremi
TL;DR
This paper investigates the fundamental properties of multiplication conditional expectation operators between different Orlicz spaces, focusing on their boundedness and range characteristics.
Contribution
It provides new insights into the behavior of MCE operators across various Orlicz spaces, expanding understanding of their mathematical properties.
Findings
MCE operators are bounded under certain conditions.
Range of MCE operators can be closed in specific Orlicz spaces.
Conditions for boundedness depend on the Orlicz functions involved.
Abstract
In this paper we study some basic properties, like boundedness and closedness of range, of multiplication conditional expectation(MCE) operators between different Orlicz spaces.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Advanced Banach Space Theory · Holomorphic and Operator Theory