Uniformly continuous composition operator in the space of φ-variation functions in the sense of Riesz

• Autorzy: Acosta A. , Aziz W. , Matkowski J. , Merentes N.
• Języki publikacji: EN

Abstrakty

EN

Assuming that a Nemytskii operator maps a subset of the space of bounded variation functions in the sense of Riesz into another space of the same type, and is uniformly continuous, we prove that the generator of the operator is an affine function.

Słowa kluczowe

EN

uniformly continuous composition operator; Jensen equation

PL

równanie Jensena

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 43
• Strony: 5--11
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Acosta A.

autor

Aziz W.

autor

Matkowski J.

autor

Merentes N.

• Universidad Central de Venezuela Facultad de Ingeniería Ciclo Básico, Caracas-Venezuela,

Bibliografia

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• [10] Matkowski J., Miś J., On a characterization of Lipschitzian operators of substitution in the space BV < a, b >, Math. Nachr., 117(1984), 155–159.
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• [12] Merentes N., Composition of functions of bounded ϕ-variation, P.U.M.A., Ser. 1, (1991), 39–45.
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