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

???subjectarea.asjc.2600.2603???
???subjectarea.asjc.2600.2604???

Altri file e collegamenti

OA Link

Cita questo

@article{e911b8a76f3340d9b70c55927d724bd8,

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",

volume = "467",

pages = "26--31",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - The arithmetic decomposition of central Cantor sets

AU - Tulone, Francesco

AU - Prus-Wiśniowski, Franciszek

PY - 2018

Y1 - 2018

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

ER -

The arithmetic decomposition of central Cantor sets

Abstract

All Science Journal Classification (ASJC) codes

Altri file e collegamenti

Fingerprint

Cita questo