Functions of two variables whose vertical sections are equiderivatives

• Autorzy: Chmielewska K.
• Języki publikacji: EN

Abstrakty

EN

We examine functions of two variables whose all vertical sections are equiderivatives. In particular we show that a bounded function whose horizontal sections are strongly measurable and vertical sections are equiderivatives, is strongly measurable. The theorems we prove are generalizations of the results of Z. Grande [3].

Słowa kluczowe

EN

derivative; equiderivatives; strong measurability

PL

pochodna; silna mierzalność

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2003
• Tom: Vol. 9, nr 1
• Strony: 123--129
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Chmielewska K.

• Institute of Mathematics Bydgoszcz Academy Pl. Weyssenhoffa 11 85-072 Bydgoszcz Poland,

Bibliografia

• [1] Bruckner, A. M., Differentiation of integrals, p. II, Amer. Math. Monthly 78(9) (1971).
• [2] Chmielewska, К., On the strong product measurability, Real Anal. Exchange 26(1) (2000-01), 437-443.
• [3] Grande, Z., On equi-derivatives, Real Anal. Exchange 21(2) (1995-96), 637-647.
• [4] Miśik, L., Uber den Mittelwertsatz fiir additive Zellenfunktionen, Mat.-Fyz. Ćasopis. Sloven. Acad. Vied 15(4) (1963), 260-274.
• [5] Рauс, C., Derivees et Integrales: Fonctions de cellule, Conference faite au Centre Mathematique International de Varenna, 15-25 Aug. 1954, pub. Mathematical Institute, Rome.
• [6] Yosida, K., Functional Analysis, Springer-Verlag, Berlin-Heidelberg-New York, 1980.