| Title:
|
On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation (English) |
| Author:
|
Merentes, N. |
| Author:
|
Rivas, S. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
627-637 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A45 |
| MSC:
|
47H30 |
| idZBL:
|
Zbl 0856.47042 |
| idMR:
|
MR1354922 |
| DOI:
|
10.21136/CMJ.1995.128558 |
| . |
| Date available:
|
2009-09-24T09:51:13Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128558 |
| . |
| Reference:
|
[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. Zbl 0599.46032, MR 0790842 |
| Reference:
|
[2] Matkowska A., Matkowski J and Merentes N.: Remark on globally Lipschitzian composition operators.. |
| Reference:
|
[3] Matkowski J.: Form of Lipschitz operators of substitution in Banach spaces of differentiable functions.Sci. Bull. Łódz Technical Univ. 17 (1984), 5–10. Zbl 0599.46031, MR 0790835 |
| Reference:
|
[4] Matkowski J.: Functional equation and Nemytskii operator.Funkcialaj Ekvacioj 25 (1982), 127–132. MR 0694906 |
| Reference:
|
[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 1222285 |
| Reference:
|
[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. MR 0755299, 10.1002/mana.3211170111 |
| Reference:
|
[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 1161510 |
| Reference:
|
[8] Riesz F.: Untersuchungen über Systeme integrierbarer Funktionen.Math. Annalen 69 (1910), 449–497. MR 1511596, 10.1007/BF01457637 |
| Reference:
|
[9] Szigeti F.: Composition of Sobolev functions and application.Notas de Matemáticas, Univ. Los Andes, Venezuela 86 (1987), 1–25. MR 0939808 |
| . |
