Weighted Composition Lambert-Type Operators on L p Spaces
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In this paper boundedness of a weighted composition Lambert-type operator T = M w EM u C φ acting between two different L p (Σ) spaces is characterized using some properties of conditional expectation operator. Moreover, we establish criteria for hyponormality for these types of operators on L 2(Σ).
Mathematics Subject Classification (2000)47B47
KeywordsConditional expectation multiplication operators composition operators hyponormal operators
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- 3.Herron, J.: Weighted conditional expectation operators on L p spaces, UNC Charlotte Doctoral Dissertation (2004)Google Scholar
- 4.Lambert A.: L p multipliers and nested sigma-algebras. Oper. Theory Adv. Appl. 104, 147–153 (1998)Google Scholar
- 6.Rao M.M.: Conditional measure and applications. Marcel Dekker, New York (1993)Google Scholar