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Nemytskii Operators on Lp Spaces

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

Abstract

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.

Keywords

Measurable Function Lebesgue Measure Measure Space Multiplication Operator Derivative Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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