| Title:
|
Continuity of superposition operators on $w_0$ and $W_0$ (English) |
| Author:
|
Płuciennik, Ryszard |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
529-542 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46B45 |
| MSC:
|
46E30 |
| MSC:
|
47B37 |
| MSC:
|
47B38 |
| MSC:
|
47H30 |
| idZBL:
|
Zbl 0741.47007 |
| idMR:
|
MR1078487 |
| . |
| Date available:
|
2008-06-05T21:45:15Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106888 |
| . |
| Reference:
|
[1] Appell J.: Upper estimates for superposition operators and some applications.Ser. A I, Ann. Acad. Sci. Fenn. 8 (1983), 149-159. Zbl 0489.47017, MR 0698843 |
| Reference:
|
[2] Appell J., Zabrejko P. P.: Sharp upper estimates for the superposition operator.Doklady Akad. Nauk BSSR 27 (1983), 686-689. MR 0714619 |
| Reference:
|
[3] Chew Tuan Seng: Characterization of orthogonally additive operators on sequence spaces.SEA Bull. Math. 11 (1987), 39-44. Zbl 0635.46008, MR 0914362 |
| Reference:
|
[4] Chew Tuan Seng: Superposition operators on $w_0$ and $W_0$.to appear, Comment. Math. |
| Reference:
|
[5] Chew Tuan Seng, Lee Peng Yee: Orthogonally additive functionals on sequence spaces.SEA Bull. Math. 9 (1985), 81-85. Zbl 0613.46007, MR 0850699 |
| Reference:
|
[6] Dedagich F., Zabrejko P. P.: On the superposition operator in $l_p$ spaces.(Russian), Sibirskij Mat. Zhurn. 28 (1987), 86-98. MR 0886856 |
| Reference:
|
[7] Krasnoselki M. A.: On the continuity of the operator $Fu(x) = f(x,u(x)),$.(Russian), Doklady Akad. Nauk SSSR 77 (1951), 185-188. MR 0041354 |
| Reference:
|
[8] Krasnoselki M. A., Zabrejko P. P., Pustylnik Ye. L, Sobolevskii P. Ye.: Integral operators in spaces of summable functions.Nauka, (Russian), Moskva 1966. MR 0206751 |
| Reference:
|
[9] Lee Peng Yee: Sectionally modulared spaces and strong summability.Tomus specialis in honorem Orlicz, Comment. Math. 1 (1978), 197-203. Zbl 0404.46004, MR 0504164 |
| Reference:
|
[10] Maddox I. J.: Elements of functional analysis.Cambridge University Press 1970. Zbl 0193.08601, MR 0390692 |
| Reference:
|
[11] Pluciennik R.: Boundedness of superposition operator on $w_0$.to appear, SEA Bull. Math. 15 (1991). MR 1145435 |
| Reference:
|
[12] Pluciennik R.: Boundedness of the superposition operator in generalized Orlicz spaces of vector-valued functions.Bull. Pol. Ac.: Math. 33 (1985), 531-540. Zbl 0587.46027, MR 0826380 |
| Reference:
|
[13] Pluciennik R.: On some properties of the superposition operator in generalized Orlicz spaces of vector-valued functions.Comment. Math. 25 (1985), 321-337. Zbl 0608.47068, MR 0844649 |
| Reference:
|
[14] Robert J.: Continuité d'un opérateur nonlinéar sur certains espaces de suites.Paris, Ser. A., C.R. Acad. Sci. 259 (1964), 1287-1290. MR 0166602 |
| Reference:
|
[15] Shragin I. V.: Conditions for imbedding of classes and their consequences.(Russian), Mat. Zametki 20 (1976), 681-692. MR 0442641 |
| . |
