Have a personal or library account? Click to login
Null sets with respect to a continuous function Cover
Open Access
|Nov 2012

References

  1. [1] AVERSA, V.: Sugli insiemi di peso nullo rispetto ad una funzione continua, Ricerche Mat. 26 (1977), 79-84.
  2. [2] AVERSA, V.-PREISS, D.: Lusin’s theorem for derivatives with respect to a continuousfunction, Proc. Amer. Math. Soc. 127 (1999), 3229-3235.10.1090/S0002-9939-99-05086-8
  3. [3] BROWN, B. H.: A measure on the real line constructed from an arbitrary point function, Proc. London Math. Soc. (3) 27 (1973), 1-21.10.1112/plms/s3-27.1.1
  4. [4] CACCIOPPOLI, R.: L’integrazione e la ricerca delle primitive rispetto ad una funzionecontinua qualunque, Ann. Mat. Pura Appl. 40 (1955), 15-34.10.1007/BF02416519
  5. [5] LEBESGUE, H. L.: Le¸cons sur L’int´egration et la Recherche des Fonctions Primitives. AMS Chelsea Publ., Providence, RI, 1973.
  6. [6] LIBERMAN, J.: Th´eor`eme de Denjoy sur la d´eriv´ee d’une fonction arbitraire par rapport`a une fonction continue, Rec. Math. Moscow, n. Ser. 9, 51 (1941), 221-236.
  7. [7] MUNROE, M. E.: Measure and Integration (2nd ed.). Addison-Wesley Publ. Comp., Reading, Mass., 1971.
  8. [8] SAKS, S.: Theory of the Integral (2nd ed.). Dover Publ., Mineola, NY, 1964.
  9. [9] TKADLEC, J.: Construction of some non-σ-porous set on the real line, Real Anal. Exchange 9 (1983-1984), 473-482.10.2307/44153562
DOI: https://doi.org/10.2478/v10127-012-0024-x | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 47 - 51
Published on: Nov 19, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2012 Vincenzo Aversa, Anna De Simone, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.