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.