Bulletin of the Korean Mathematical Society (대한수학회보)

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UNIFORMLY BOUNDED COMPOSITION OPERATORS ON A BANACH SPACE OF BOUNDED WIENER-YOUNG VARIATION FUNCTIONS

  • Glazowska, Dorota (Faculty of Mathematics Computer Science and Econometrics University of Zielona Gora) ;
  • Guerrero, Jose Atilio (Departamento de Matematicas y Fisica Universidad Nacional Experimental del Tachira) ;
  • Matkowski, Janusz (Institute of Mathematics University of Zielona Gora) ;
  • Merentes, Nelson (Escuela de Matematicas Universidad Central de Venezuela)
  • Received : 2012.01.17
  • Published : 2013.03.31
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Abstract

We prove, under some general assumptions, that a generator of any uniformly bounded Nemytskij operator, mapping a subset of space of functions of bounded variation in the sense of Wiener-Young into another space of this type, must be an affine function with respect to the second variable.

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References

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