Nemytskii Operators on Lp Spaces

  • R. M. Dudley
  • R. Norvaiša
Part of the Springer Monographs in Mathematics book series (SMM)


In this chapter, the Nemytskii operator N ψ is considered between the spaces \(\mathbb{G}\) = Ls and \(\mathbb{H}\) ≥ L p with s, p = 1. Thus, it will be considered as an operator between spaces of equivalence classes of measurable functions on a measure space.


Measurable Function Lebesgue Measure Measure Space Multiplication Operator Derivative Operator 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Institute of Mathematics and InformaticsVilniusLithuania

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