The arithmetic decomposition of central Cantor sets

Francesco Tulone; Franciszek Prus-Wiśniowski

The arithmetic decomposition of central Cantor sets

Francesco Tulone, Franciszek Prus-Wiśniowski

Matematica e Informatica

Risultato della ricerca: Article › peer review

3 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	26-31
Numero di pagine	6
Rivista	Journal of Mathematical Analysis and Applications
Volume	467
Stato di pubblicazione	Published - 2018

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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title = "The arithmetic decomposition of central Cantor sets",

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.",

author = "Francesco Tulone and Franciszek Prus-Wi{\'s}niowski",

year = "2018",

language = "English",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - The arithmetic decomposition of central Cantor sets

AU - Tulone, Francesco

AU - Prus-Wiśniowski, Franciszek

PY - 2018

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N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/316933

M3 - Article

VL - 467

SP - 26

EP - 31

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

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