Abstract
In this note, unbounded hyperexpansive weighted composition operators are investigated. As a consequence unbounded hyperexpansive multiplication and composition operators are characterized. Some examples are provided to illustrate concrete application of the main results of the paper.
Similar content being viewed by others
References
Arora SC, Datt G, Verma S (2007) Composition operators on Lorentz spaces. Bull Aust Math Soc 76:205–214
Budzynski P, Jablonski ZJ, Jung B, Stochel J (2013) Unbounded weighted composition operators in L2-spaces. arXiv:1310.3542
Cowen CC, MacCluer BD (1995) Composition operators on spaces of analytic functions, Studies in advanced mathematics. CRC, Boca Raton
Cui Y, Hudzik H, Kumar R, Maligranda L (2004) Composition operators in Orlicz spaces. J Aust Math Soc 76:189–206
Jablonski ZJ (2002) Complete hyperexpansivity, subnormality and inverted boundedness conditions. Integr Equ Oper Theory 44:316–336
Jablonski J (2003) Hyperexpansive composition operators. Math Proc Camb Phil Soc 135:513–526
Jablonski J, Stochel J (2001) Unbounded 2-hyperexpansive operators. Proc Edinburgh Math Soc 44:613–629
Lambert A (1984) Operator algebras related to measure preserving transformations of finite order, Rocky Mountain. J Math 14:341–349
Lambert A (1991) Localising sets for sigma-algebras and related point transformations. Proc R Soc Edinburgh Sect A 118:111–118
Rao MM (1993) Conditional measure and applications. Marcel Dekker, New York
Sholapurkar VM, Athavale A (2000) Completely and alternatingly hyperexpansive operators. J Oper Theory 43:43–68
Singh RK, Manhas JS (1993) Composition operators on function spaces, mathematics studies, vol 179. North Holland, Amsterdam
Takagi H (1992) Compact weighted composition operators on L p. Proc Am Math Soc 116:505–511
Zaanen AC (1967) Integration, 2nd edn. North-Holland, Amsterdam
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Estaremi, Y., Shamsigamchi, S. Unbounded Hyperexpansive Weighted Composition Operators on \(L^{2} (\varSigma )\) . Iran J Sci Technol Trans Sci 41, 671–676 (2017). https://doi.org/10.1007/s40995-017-0279-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40995-017-0279-9