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On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation
Czechoslovak Mathematical Journal, Tome 45 (1995) no. 4, pp. 627-637
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DOI : 10.21136/CMJ.1995.128558
Classification : 26A45, 47H30 
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Merentes, N.; Rivas, S. On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation. Czechoslovak Mathematical Journal, Tome 45 (1995) no. 4, pp. 627-637. doi: 10.21136/CMJ.1995.128558

[1] Matkowska A.: On characterization of Lipschitzian operators of substitution in the class of Hölder functions. Sci. Bul. Łódz Technical Univ. 17 (1984), 81–85. | MR | Zbl

[2] Matkowska A., Matkowski J and Merentes N.: Remark on globally Lipschitzian composition operators.

[3] Matkowski J.: Form of Lipschitz operators of substitution in Banach spaces of differentiable functions. Sci. Bull. Łódz Technical Univ. 17 (1984), 5–10. | MR | Zbl

[4] Matkowski J.: Functional equation and Nemytskii operator. Funkcialaj Ekvacioj 25 (1982), 127–132. | MR

[5] Matkowski J. and Merentes N.: Characterization of globally Lipschitzian composition operators in the Banach space $BV_p^2[a,b]$. Archivum Math. 28 (1992), 181–186. | MR

[6] Matkowski J. and Miś J.: On a characterization of Lipschitzian operators of substitution in the space $BV[a,b]$. Math. Nachr. 117 (1984), 155–159. | DOI | MR

[7] Merentes N.: On a characterization of Lipschitzian operators of substitution in the space of bounded Reisz $\phi $-variation. Annales Univ. Sci. Budapest 34 (1991), 139–144. | MR

[8] Riesz F.: Untersuchungen über Systeme integrierbarer Funktionen. Math. Annalen 69 (1910), 449–497. | DOI | MR

[9] Szigeti F.: Composition of Sobolev functions and application. Notas de Matemáticas, Univ. Los Andes, Venezuela 86 (1987), 1–25. | MR

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