Every central Cantor set of positive Lebesgue measure is the arithmetic sum of two central Cantor sets of Lebesgue measure zero. Under some mild condition this result can be strengthened by stating that the summands can be chosen to be Csregular if the initial set is of this class.
Prus-Wiśniowski, F., Tulone, F. (2018). The arithmetic decomposition of central Cantor sets. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 467(1), 26-31 [10.1016/j.jmaa.2018.05.065].
The arithmetic decomposition of central Cantor sets
Tulone, Francesco
2018-01-01
Abstract
Every central Cantor set of positive Lebesgue measure is the arithmetic sum of two central Cantor sets of Lebesgue measure zero. Under some mild condition this result can be strengthened by stating that the summands can be chosen to be Csregular if the initial set is of this class.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1-s2.0-S0022247X18304669-main.pdf
Solo gestori archvio
Descrizione: articolo
Tipologia:
Versione Editoriale
Dimensione
259.77 kB
Formato
Adobe PDF
|
259.77 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
316933_Tulone_The arithmetic decomposition of central Cantor sets.pdf
accesso aperto
Tipologia:
Pre-print
Dimensione
256.9 kB
Formato
Adobe PDF
|
256.9 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
