Review: Michel Bruneau, Variation totale d'une fonction
F. W. Gehring
Source: Bull. Amer. Math. Soc. Volume 82, Number 4 (1976), 532-535.
Reviewed Works:
Michel Bruneau, Variation totale d'une fonction. Lecture Notes in Mathematics, vol. 413, Springer-Verlag, Berlin, 1974, 332 + xiv pp., $12.30
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bams/1183538116
References
1. B. H. Browne, A measure on the real line constructed from an arbitrary point function, Proc. London Math. Soc. (3) 27 (1973), 1-21. MR 48 #4251.
Zentralblatt MATH:
0261.28004
Mathematical Reviews (MathSciNet):
MR325905
2. J. C. Burkill and F. W. Gehring, A scale of integrals from Lebesgue's to Denjoy's, Quart. J. Math. Oxford Ser. (2) 4 (1953), 210-220. MR 15, 204.
Zentralblatt MATH:
0052.28505
Mathematical Reviews (MathSciNet):
MR57307
3. R. O. Davies and C. A. Rogers, The problem of subsets of finite positive measure, Bull. London Math. Soc. 1 (1969), 47-54. MR 39 #1616.
Zentralblatt MATH:
0186.37202
Mathematical Reviews (MathSciNet):
MR240267
4. F. W. Gehring, A study of α-variation. I, Trans. Amer. Math. Soc. 76 (1954), 420-443. MR 16, 364.
Zentralblatt MATH:
0055.28605
Mathematical Reviews (MathSciNet):
MR64859
5. D. G. Larman, Subsets of given Hausdorff measure in connected spaces, Quart. J. Math. Oxford Ser. (2) 17 (1966), 239-243. MR 34 # 1479.
Zentralblatt MATH:
0141.24402
Mathematical Reviews (MathSciNet):
MR201597
6. E. R. Love and L. C. Young, Sur une classe de fonctionnelles linéaires, Fund. Math. 28 (1937), 243-257.
Zentralblatt MATH:
0016.21405
7. S. J. Taylor, Exact asymptotic estimates of Brownian path variation, Duke Math. J. 39 (1972), 219-241. MR 45 #4500.
Zentralblatt MATH:
0241.60069
Mathematical Reviews (MathSciNet):
MR295434
8. H. Tietz, Permanenz- und Taubersätze bei pV-Summierung, J. Reine Angew. Math. 260 (1973), 151-177. MR 48 #754.
Zentralblatt MATH:
0257.40004
Mathematical Reviews (MathSciNet):
MR322392
9. N. Wiener, The quadratic variation of a function and its Fourier coefficients, J. Math. Physics 3 (1924), 72-94.
Jahrbuch database (Zbl):
50.0203.01
10. L. C. Young, An inequality of Hölder type, connected with Stieltjes integration, Acta Math. 67 (1936), 251-282.
Zentralblatt MATH:
0016.10404
Mathematical Reviews (MathSciNet):
MR1555421
