Further remarks on the Nemitskii operator in Hölder spaces

Rita Nugari

Displaying similar documents to “Further remarks on the Nemitskii operator in Hölder spaces”

Generalized weak peripheral multiplicativity in algebras of Lipschitz functions

Antonio Jiménez-Vargas, Kristopher Lee, Aaron Luttman, Moisés Villegas-Vallecillos (2013)

Open Mathematics

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Let (X, d X) and (Y,d Y) be pointed compact metric spaces with distinguished base points e X and e Y. The Banach algebra of all $𝕂$ -valued Lipschitz functions on X - where $𝕂$ is either‒or ℝ - that map the base point e X to 0 is denoted by Lip0(X). The peripheral range of a function f ∈ Lip0(X) is the set Ranµ(f) = f(x): |f(x)| = ‖f‖∞ of range values of maximum modulus. We prove that if T 1, T 2: Lip0(X) → Lip0(Y) and S 1, S 2: Lip0(X) → Lip0(X) are surjective mappings such that $R a n_{π} (T_{1} (f) T_{2} (g)) \cap R a n_{π} (S_{1} (f) S_{2} (g)) \neq \emptyset$ for all...

On the domain of the implicit function and applications.

Papi, Marco (2005)

Journal of Inequalities and Applications [electronic only]

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A simple proof of the Rademacher theorem

Aleš Nekvinda, Luděk Zajíček (1988)

Časopis pro pěstování matematiky

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Nonuniqueness results for ordinary differential equations

Josef Kalas (1998)

Czechoslovak Mathematical Journal

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In the present paper we give general nonuniqueness results which cover most of the known nonuniqueness criteria. In particular, we obtain a generalization of the nonuniqueness theorem of Chr. Nowak, of Samimi’s nonuniqueness theorem and of Stettner’s nonuniqueness criterion.