Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2009.02.25
  • Published : 2010.07.31
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Abstract

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.

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References

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Cited by

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