A simple proof of Zahorski's description of non-differentiability sets of Lipschitz functions

Real Analysis Exchange

Volumn 34, Issue 1, 2009, Pages 127-131

  Fowler, Thomas ^a   Preiss, David ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

Lipschitz functions; Sets of non differentiability

Indexed keywords

EID: 84921931216     PISSN: 01471937     EISSN: 19301219     Source Type: Journal    
DOI: 10.14321/realanalexch.34.1.0127     Document Type: Article

References (7)

1. B. Bongiorno, L. Di Piazza, V. A. Skvortsov, On variational measures related to some bases, J. Math. Anal. Appl., 250(2) (2000), 533-547
2. V. Ene, Characterizations of V BG* (N), Real Analysis Exchange, 23(2) (1997/98), 571-599
3. L. C. Evans and R. F. Gariepy, Measure Theory and Fine Properties of Functions, CRC Press., Boca Raton, 1992
4. V. Skvortsov and Y. Zherebyov, On classes of functions generating ab-solutely continuous variational measures, Real Anal. Exchange, 30(1) (2004/05), 361-372
5. B. S. Thomson, Real functions, Lect. Notes in Math. 1170, Springer-Verlag, Berlin, 1985
6. B. S. Thomson, Some properties of variational measures, Real Anal. Ex-change, 24(2) (1998/99), 845-854
7. Yu. A. Zhereb 0ev, σ-finite and semi-moderated variational measures, Vestnik Moskov. Univ. Ser. I Mat. Mekh., (4) (2007), 29-33 (in Russian) or Moscow Univ. Math. Bull., 62(4) (2007), 153-157 (English transla-tion)