Uniformly continuous composition operator in the space of functions of two variables of Bounded ɸ-variation in the sense of Schramm

• Autorzy: Aziz W. , Ereú T. , Merentes N. , Sanchez J. L. , Wróbel M.
• Języki publikacji: EN

Abstrakty

EN

We prove in this paper that if the composition operator H, generated by a function h : I _b ^a x C(Iba) Y , maps ɸBV (Iba ,C) into ɸ2 BV (Iba , Y ) and is uniformly continuous, then the left-left regularization h* of h is an affine function with respect to the third variable.

Słowa kluczowe

EN

affine functions; sense of Schramm

PL

funkcja afiniczna; funkcje matematyczne; operator Nemytskija

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2012
• Tom: Vol. 17
• Strony: 7--16
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Aziz W.

• Universidad de los Andes, Departamento de Física y Matemáticas, Trujillo-Venezuela

autor

Ereú T.

• Escuela de Matemáticas, Caracas, Venezuela

autor

Merentes N.

• Escuela de Matemáticas, Caracas, Venezuela

autor

Sanchez J. L.

• Escuela de Matemáticas, Caracas, Venezuela

autor

Wróbel M.

• Jan Długosz University, Institute of Mathematics and Computer Science, 42-200 Czestochowa, Al. Armii Krajowej 13/15, Poland

Bibliografia

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