The Nemytskiĭ operator in the Hölder spaces C 0,α (Ω) with Ω 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.
Chiappinelli, R., Nugari, R. (1995). The Nemitskiĭ operator in Hölder spaces: some necessary and sufficient conditions. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 51(2), 365-372 [10.1112/jlms/51.2.365].
The Nemitskiĭ operator in Hölder spaces: some necessary and sufficient conditions
CHIAPPINELLI, RAFFAELE;NUGARI, RITA
1995-01-01
Abstract
The Nemytskiĭ operator in the Hölder spaces C 0,α (Ω) with Ω 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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https://hdl.handle.net/11365/32046
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