Functions of several variables of finite variation and their differentiability

• Autorzy: Dariusz Idczak
• Języki publikacji: EN

Abstrakty

EN

Some differentiability properties of functions of several variables of finite variation are investigated.

Słowa kluczowe

EN

functions of several variables; nondecreasing functions; functions of finite variation; Fréchet differentiability

Kategorie tematyczne

• 26B30: Absolutely continuous functions, functions of bounded variation
• 26B05: Continuity and differentiation questions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1994-1995
• Tom: 60
• Numer: 1
• Strony: 47-56

Daty

wydano

1994

otrzymano

1992-10-28

poprawiono

1993-07-05

poprawiono

1994-02-07

Twórcy

autor

Dariusz Idczak

• Institute of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Bibliografia

• [1] P. Antosik, The investigation of the continuity of functions of several variables, Comment. Math. 10 (1966), 101-104 (in Russian).
• [2] Y. Chabrillac and J. P. Crouzeix, Continuity and differentiability properties of monotone real functions of several real variables, Math. Programming Study 30 (1987), 1-16.
• [3] S. Łojasiewicz, An Introduction to the Theory of Real Functions, Wiley, Chichester, 1988.
• [4] E. Marczewski et C. Ryll-Nardzewski, Sur la mesurabilité des fonctions de plusieurs variables, Ann. Soc. Polon. Math. 25 (1952), 145-149.
• [5] S. Mazurkiewicz, Foundations of Probability, PWN, Warszawa, 1956 (in Polish).
• [6] S. Walczak, On the differentiability of absolutely continuous functions of several variables. Remarks on the Rademacher theorem, Bull. Polish Acad. Sci. Math. 36 (1988), 513-520.
• [7] R. L. Wheeden and A. Zygmund, Measure and Integral: an Introduction to Real Analysis, Marcel Dekker, 1977.