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On Fréchet-differentiability of Nemytskij operators acting in Hölder spaces

Published online by Cambridge University Press:  18 May 2009

Manfred Goebel
Manfred Goebel
Affiliation:
Martin-Luther-Universität, Sektion Mathematik, Universitätsplatz 6, G.D.R.-4020 Halle (Saale)
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In any field of nonlinear analysis Nemytskij operators, the superposition operators generated by appropriate functions, play a crucial part. Their analytic properties depend on the postulated properties of the defining function and on the function space in which they are considered. A rich source for related questions is the monograph by J. Appell and P. P. Zabrejko [2] and the survey paper by J. Appell [1].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 1 , January 1991 , pp. 1 - 5
Copyright
Copyright © Glasgow Mathematical Journal Trust 1991

References

REFERENCES

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