| Title:
|
On the symmetry of Dini derivates of arbitrary functions (English) |
| Author:
|
Zajíček, Luděk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
195-209 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A24 |
| MSC:
|
26A27 |
| MSC:
|
26B35 |
| idZBL:
|
Zbl 0462.26003 |
| idMR:
|
MR609947 |
| . |
| Date available:
|
2008-06-05T21:07:37Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106064 |
| . |
| Reference:
|
[1] C. L. BELNA M. J. EVANS P. D. HUMKE: Most directional cluster sets have common values.Fund. Math. 101 (1978), 1-10. MR 0512239 |
| Reference:
|
[2] H. BLUMBERG: A theorem on arbitrary functions of two variables with applications.Fund. Math. 16 (1930), 17-24. |
| Reference:
|
[3] A. M. BRUCKNER: Differentiation of real functions.Lecture notes in Mathematics, No. 659, Springer Verlag, 1978. Zbl 0382.26002, MR 0507448 |
| Reference:
|
[4] A. M. BRUCKNER C. GOFFMAN: The boundary behaviour of real functions in the upper half plane.Rev. Roumaine Math. Pures Appl. 11 (1966), 507-518. MR 0206173 |
| Reference:
|
[5] E. P. DOLŽENKO: The boundary properties of arbitrary functions.Russian, Izv. Akad. Nauk SSSR, Ser. Mat. 31 (1967), 3-14. MR 0217297 |
| Reference:
|
[6] M. J. EVANS P. D. HUMKE: Directional cluster sets ana essential directional cluster sets of real functions defined in the upper half plane.Rev. Roumaine Math. Pures Appl. 23 (1978), 533-542. MR 0492273 |
| Reference:
|
[7] V. JARNÍK: Sur les fonctions de la première classe de Baire.Bull. Internat. Acad. Sci. Boheme 1926. |
| Reference:
|
[8] V. JARNÍK: Sur les fonctions de deux variables reélies.Fund. Math. 27 (1936), 147-150. |
| Reference:
|
[9] J. LUKEŠ L. ZAJÍČEK: When finely continuous functions are of the first class of Baire.Comment. Math. Univ. Carolinae 18 (1977), 647-657. MR 0457646 |
| Reference:
|
[10] F. MIGNOT: Controle dans les inéquations variationelles elliptiques.J. Functional Analysis 22 (1976), 130-185. Zbl 0364.49003, MR 0423155 |
| Reference:
|
[11] C. NEUGEBAUER: A theorem on derivatives.Acta Sci. Math. Szeged, 23 (1962), 79-81. Zbl 0105.04602, MR 0140624 |
| Reference:
|
[12] S. SAKS: Theory of the Integral.New York, 1937. Zbl 0017.30004 |
| Reference:
|
[13] L. ZAJÍČEK: On cluster sets of arbitrary functions.Fund. Math. 83 (1974), 197-217. MR 0338294 |
| Reference:
|
[14] L. ZAJÍČEK: Sets of $\sigma $ -porosity and sets of $\sigma $ -porosity $(q)$.Časopis pěst. mat. 101 (1976), 350-359. Zbl 0341.30026, MR 0457731 |
| . |
