대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제47권4호
  • /
  • Pages.793-803
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  • 2010
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME WEAK HYPONORMAL CLASSES OF WEIGHTED COMPOSITION OPERATORS

  • Jabbarzadeh, Mohammad R. (FACULTY OF MATHEMATICAL SCIENCES UNIVERSITY OF TABRIZ) ;
  • Azimi, Mohammad R. (FACULTY OF MATHEMATICAL SCIENCES UNIVERSITY OF TABRIZ)
  • 투고 : 2009.02.25
  • 발행 : 2010.07.31
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초록

In this note, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $L^2(\cal{F})$ such as, p-quasihyponormal, p-paranormal, p-hyponormal and weakly hyponormal. Some examples are then presented to illustrate that weighted composition operators lie between these classes.

키워드

참고문헌

  1. A. Aluthge, On p-hyponormal operators for 0 < p < 1, Integral Equations Operator Theory 13 (1990), no. 3, 307–315. https://doi.org/10.1007/BF01199886
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  7. T. Hoover, A. Lambert, and J. Quinn The Markov process determined by a weighted composition operator, Studia Math. 72 (1982), no. 3, 225–235. https://doi.org/10.4064/sm-72-3-225-236
  8. A. Lambert, Hyponormal composition operators, Bull. London Math. Soc. 18 (1986), no. 4, 395–400. https://doi.org/10.1112/blms/18.4.395
  9. R. K. Singh and J. S. Manhas, Composition Operators on Function Spaces, North-Holland Mathematics Studies, 179. North-Holland Publishing Co., Amsterdam, 1993.
  10. T. Yamazaki and M. Yanagida, A further generalization of paranormal operators, Sci. Math. 3 (2000), no. 1, 23–31.

피인용 문헌

  1. Subnormality and Weighted Composition Operators on L2Spaces vol.55, pp.2, 2015, https://doi.org/10.5666/KMJ.2015.55.2.345