σ-finite and semimoderate variational measures

Moscow University Mathematics Bulletin

Volumn 62, Issue 4, 2007, Pages 153-157

  Zhereb'ev, Yu A ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84859571945     PISSN: 00271322     EISSN: 19348444     Source Type: Journal    
DOI: 10.3103/S0027132207040067     Document Type: Article

References (16)

1. B. S. Thomson, Real Functions, in Lect. Notes Math. (Springer-Verlag, Berlin, 1985), Vol. 1170.
2. i, AC and AC Functions," Real Analysis Exchange 19(2), 491 (1993/94).
3. B. Bongiorno, L. Di Piazza, and V. A. Skvortsov, "A New Full Descriptive Characterization of Denjoy-Perron Integral," Real Analysis Exchange 21(2), 656 (1995/96).
4. W. F. Pfeffer, "On Variations of Functions of One Real Variable," Comm. Math. Univ. Carolinae 38(1), 61 (1997).
5. V. A. Skvortsov, "A Variational Measure and Sufficient Condition of Differentiability of an Additive Function of an Interval," Vestn. Mosk. Univ., Matem. Mekhan., No. 2, 55 (1997).
6. B. S. Thomson, "Some Properties of Variational Measures," Real Analysis Exchange 24(2), 845 (1998/99).
7. B. Bongiorno, L. Di Piazza, and V. A. Skvortsov, "On Variational Measures Related to Some Bases," J. Math. Anal. and Appl. 250(2), 533 (2000).
8. V. A. Skvortsov and Yu. A. Zhereb'ev, "On Classes of Functions Generating Absolutely Continuous Variational Measures," Real Analysis Exchange 30(1), 361 (2004/05).
9. V. A. Skvortsov, "A Multiple Perron Integral," Vestn. Mosk. Univ. Matem. Mekhan., No. 2, 11 (2000).
10. m," Czech. Math. J. 51(126)(1), 95 (2001).
11. W. F. Pfeffer, "The Lebesgue and Denjoy-Perron Integrals from a Descriptive Point of View," Ric. Mat. 48(2), 211 (1999).
12. Tuo-Yeong Lee, "A Full Descriptive Definition of the Henstock-Kurzweil Integral in the Euclidean Space," Proc. London Math. Soc. 87(3), 677 (2003).
13. S. Saks, Theory of the Integral (Monografje Matematyczne, Warszawa, 1933; Faktorial, Moscow, 2004).
14. V. I. Bogachev, Foundations of Measure Theory, Vols. 1, 2 (R& C Dynamics, Moscow, 2003) [in Russian].
15. n (Lect. Notes Math. Vol. 481, Springer-Verlag, Berlin, 1975; Mir, Moscow 1978).
16. Yu. A. Zhereb'ev, "Denjoy-Luzin Definitions for the Classes of ACG, ACG*, VBG, and V BG*-Functions," Matem. Zametki, 81(2), 205 (2007) [Math. Notes 81 (1), 183 (2007)].