1 |
J. Appell and P. P. Zabrejko, Nonlinear Superposition Operator, Cambridge University Press, New York, 1990.
|
2 |
V. V. Chistyakov, Mappings of generalized variation and composition operators, J. Math. Sci. (New York) 110 (2002), no. 2, 2455-2466.
DOI
|
3 |
J. A. Guerrero, H. Leiva, J. Matkowski, and N. Merentes, Uniformly continuous composition operators in the space of bounded -variation functions, Nonlinear Anal. 72 (2010), no. 6, 3119-3123.
DOI
ScienceOn
|
4 |
M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, Polish Scientific Editors and Silesian University, Warszawa-Krakow-Katowice, 1985.
|
5 |
K. Lichawski, J. Matkowski, and J. Mis, Locally defined operators in the space of differentiable functions, Bull. Polish Acad. Sci. Math. 37 (1989), no. 1-6, 315-325.
|
6 |
W. A. Luxemburg, Banach Function Spaces, Ph.D. thesis, Technische Hogeschool te Delft, Netherlands, 1955.
|
7 |
L. Maligranda and W. Orlicz, On some properties of functions of generalized variation, Monatsh. Math. 104 (1987), no. 1, 53-65.
DOI
|
8 |
J. Matkowski, Functional equations and Nemytskii operators, Funkcial. Ekvac. 25 (1982), no. 2 127-132.
|
9 |
J. Matkowski, Uniformly bounded composition operators between general Lipschitz function normed spaces, Topol. Methods Nonlinear Anal. 38 (2011), no. 2, 395-406.
|
10 |
J. Matkowski, Uniformly continuous superposition operators in the spaces of bounded variation functions, Math. Nachr. 283 (2010), no. 7, 1060-1064.
|
11 |
J. Matkowski and J. Mis, On a characterization of Lipschitzian operators of substitution in the space BV (a, b), Math. Nachr. 117 (1984), 155-159.
DOI
|
12 |
J. Musielak and W. Orlicz, On generalized variations. I, Studia Math. 18 (1959), 11-41.
DOI
|
13 |
H. Nakano, Modulared Semi-Ordered Linear Spaces, Tokyo, 1950.
|
14 |
W. Orlicz, A note on modular spaces. I, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 9 (1961), 157-162.
|
15 |
N. Wiener, The quadratic variation of function and its Fourier coefficients, Massachusett J. Math. 3 (1924), 72-94.
|
16 |
M. Wrobel, On functions of bounded n-th variation, Ann. Math. Sil. No. 15 (2001), 79-86.
|
17 |
M. Wrobel, Locally defined operators in Holder's spaces, Nonlinear Anal. 74 (2011), no. 1, 317-323.
DOI
ScienceOn
|
18 |
M. Wrobel, Lichawski-Matkowski-Mis theorem of locally defined operators for functions of several variables, Ann. Acad. Pedagog. Crac. Studia Math. 7 (2008), 15-22.
|
19 |
M. Wrobel, Locally defined operators and a partial solution of a conjecture, Nonlinear Anal. 72 (2010), no. 1, 495-506.
DOI
ScienceOn
|
20 |
M. Wrobel, Representation theorem for local operators in the space of continuous and monotone functions, J. Math. Anal. Appl. 372 (2010), no. 1, 45-54.
DOI
ScienceOn
|
21 |
L. C. Young, Sur une generalisation de la notion de variation de puissance p-ieme bornee au sens de N. Wiener, et sur la convergence des series de Fourier, C. R. Acad. Sci. 204 (1937), no. 7, 470-472.
|