Abstract
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).
Similar content being viewed by others
References
Estaremi Y., Jabbarzadeh M.R.: Weighted lambert type operators on L p-spaces. Oper. Matrices. 7, 101–116 (2013)
Grobler J.J., de Pagter B.: Operators representable as multiplication-conditional expectation operators. J. Oper. Theory 48, 15–40 (2002)
Herron, J.: Weighted conditional expectation operators on L p spaces, UNC Charlotte Doctoral Dissertation (2004)
Lambert A.: L p multipliers and nested sigma-algebras. Oper. Theory Adv. Appl. 104, 147–153 (1998)
Lambert A.: Hyponormal composition operators. Bull. Lond. Math. Soc. 18, 395–400 (1986)
Rao M.M.: Conditional measure and applications. Marcel Dekker, New York (1993)
Zaanen A.C.: Integration, 2nd edn. North-Holland, Amsterdam (1967)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Estaremi, Y., Jabbarzadeh, M.R. Weighted Composition Lambert-Type Operators on L p Spaces. Mediterr. J. Math. 11, 955–964 (2014). https://doi.org/10.1007/s00009-013-0345-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00009-013-0345-2