The Composition Operator on Mixed-Norm Lebesgue Spaces

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Abstract

It is known that the boundedness of the composition operator on Lebesgue spaces is equivalent to the integrability of the volume derivative of the measurable mapping inducing the given operator. In the present paper, we prove a similar result for mixed-norm Lebesgue spaces in the class of mappings preserving the priority of the variables.

Original languageEnglish
Pages (from-to)812-817
Number of pages6
JournalMathematical Notes
Volume105
Issue number5-6
DOIs
Publication statusPublished - 1 May 2019

Keywords

  • composition operator
  • measurable mappings
  • mixed-norm Lebesgue spaces

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