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Journal of the London Mathematical Society 1995 51(2):365-372; doi:10.1112/jlms/51.2.365
© 1995 by London Mathematical Society
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© The London Mathematical Society

The Nemitskii Operator in Hölder Spaces: Some Necessary and Sufficient Conditions

Raffaele Chiappinelli and Rita Nugari

Dipartimento di Matematica, Università degli studi della Calabria 87036 Arcavacata(CS), Italy

Received 23 June 1993. Revision received 7 July 1993.

The Nemitskii operator in the Hölder spaces C0, {alpha}(ohm) with ohm an open bounded subset of Rn, is studied; necessary and sufficient conditions are given for boundedness, uniform continuity, and uniformly continuous differentiability on bounded sets.


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