On Cauchy Conservative Families of Nonlinear Integral Operators

• Autorzy: Musielak A.
• Języki publikacji: EN

Abstrakty

EN

Let [formula] be nonlinear integral operators of the from (2). There is estimated the expresion [formula] where ρ is a modular on the space [formula]. This is applied in order to obtain a theorem concerning modular conservatitivy of a family [formula] of operators T of the form (2).

Słowa kluczowe

EN

modular function space; nonlinear integral operators; Cauchy conservative family of operators

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2005
• Tom: Vol. 45, [Z] 1
• Strony: 1--11
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Musielak A.

• Institute of Mathematics Poznań University of Technology,

Bibliografia

• [1] C. Bardaro, J. Musielak and G. Vinti, Nonlinear integral operators and applications, de Gruyter Series in Nonlinear Analysis and Applications 9 Berlin, New York 2003.
• [2] C. Bardaro and G. Vinti, Modular approximation by nonlinear integral operators on locally compact groups, Comment. Math. 35 (1995), 25-47.
• [3] P. L. Butzer and R. J. Nessel, Fourier analysis and approximation, Pure Appl. Math. 40, Academic Press, New York, London 1971.
• [4] A. Musielak and J. Musielak, On nonlinear integral operators in function spaces, Math. Japonica 48, No. 2 (1998), 257-266.
• [5] J. Musielak, Approximation by a nonlinear convolution operator in modular function spaces, Rocznik Naukowo-Dydaktyczny Akad. Pedagogicznej w Krakowie 204, Prace Matem. XVII (2000), 181-190.