Composition Operators in Orlicz Spaces

نویسندگان

  • YUNAN CUI
  • HENRYK HUDZIK
  • ROMESH KUMAR
  • LECH MALIGRANDA
  • Yunan Cui
  • Henryk Hudzik
  • Romesh Kumar
چکیده

Composition operators C− between Orlicz spaces L.;6;1⁄4/ generated by measurable and nonsingular transformations − from  into itself are considered. We characterize boundedness and compactness of the composition operator between Orlicz spaces in terms of properties of the mapping − , the function ' and the measure space .;6;1⁄4/. These results generalize earlier results known for L p-spaces. 2000 Mathematics subject classification: primary 47B33, 46E30; secondary 47B07, 46B70.

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تاریخ انتشار 2004