Uniformly continuous composition operators in the space of functions of two variables of bounded φ-variation in the sense of Wiener

• Autorzy: Guerrero J.A. , Matkowski J. , Merentes N.
• Języki publikacji: EN

Abstrakty

EN

Assume that the generator of a Nemytskii composition operator is a function of three variables: the first two real and third in a closed convex subset of a normed space, with values in a real Banach space. We prove that if this operator maps a certain subset of the Banach space of functions of two real variables of bounded Wiener φ-variation into another Banach space of a similar type, and is uniformly continuous, then the one-sided regularizations of the generator are affine in the third variable.

Słowa kluczowe

EN

fi-variation in the Wiener sense; composition operators; uniformly continuous operator; left-left regularization; Jensen equation

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2010
• Tom: Vol. 50, [Z] 1
• Strony: 41--48
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Guerrero J.A.

autor

Matkowski J.

autor

Merentes N.

• Universidad Nacional Experimental del Tachira, Dpto. de Matematicas y Fýsica San Cristóbal-Venezuela,

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