On the symmetry of Dini derivates of arbitrary functions
Zajíček, Luděk
Commentationes Mathematicae Universitatis Carolinae, Tome 022 (1981), p. 195-209 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1981-01-01
Classification:  26A24,  26A27,  26B35 
@article{106064,
     author = {Lud\v ek Zaj\'\i \v cek},
     title = {On the symmetry of Dini derivates of arbitrary functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {022},
     year = {1981},
     pages = {195-209},
     zbl = {0462.26003},
     mrnumber = {609947},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106064}
}

Zajíček, Luděk. On the symmetry of Dini derivates of arbitrary functions. Commentationes Mathematicae Universitatis Carolinae, Tome 022 (1981) pp. 195-209. http://gdmltest.u-ga.fr/item/106064/

C. L. Belna M. J. Evans P. D. Humke Most directional cluster sets have common values, Fund. Math. 101 (1978), 1-10. (1978) | MR 0512239

H. Blumberg A theorem on arbitrary functions of two variables with applications, Fund. Math. 16 (1930), 17-24. (1930)

A. M. Bruckner Differentiation of real functions, Lecture notes in Mathematics, No. 659, Springer Verlag, 1978. (1978) | MR 0507448 | Zbl 0382.26002

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. (1966) | MR 0206173

E. P. Dolženko The boundary properties of arbitrary functions, Russian, Izv. Akad. Nauk SSSR, Ser. Mat. 31 (1967), 3-14. (1967) | MR 0217297

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. (1978) | MR 0492273

V. Jarník Sur les fonctions de la première classe de Baire, Bull. Internat. Acad. Sci. Boheme 1926. (1926)

V. Jarník Sur les fonctions de deux variables reélies, Fund. Math. 27 (1936), 147-150. (1936)

J. Lukeš L. Zajíček When finely continuous functions are of the first class of Baire, Comment. Math. Univ. Carolinae 18 (1977), 647-657. (1977) | MR 0457646

F. Mignot Controle dans les inéquations variationelles elliptiques, J. Functional Analysis 22 (1976), 130-185. (1976) | MR 0423155 | Zbl 0364.49003

C. Neugebauer A theorem on derivatives, Acta Sci. Math. Szeged, 23 (1962), 79-81. (1962) | MR 0140624 | Zbl 0105.04602

S. Saks Theory of the Integral, New York, 1937. (1937) | Zbl 0017.30004

L. Zajíček On cluster sets of arbitrary functions, Fund. Math. 83 (1974), 197-217. (1974) | MR 0338294

L. Zajíček Sets of $\sigma $ -porosity and sets of $\sigma $ -porosity $(q)$, Časopis pěst. mat. 101 (1976), 350-359. (1976) | MR 0457731 | Zbl 0341.30026