A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. II

VV Chistyakov

doi:10.1016/j.na.2005.03.072

A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. II

VV Chistyakov^*

^*Corresponding author voor dit werk

Rijksuniversiteit Groningen

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4 Citaten (Scopus)

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We characterize superposition Nemytskii operators, which map the Banach algebra of functions of n real variables with finite total variation in the sense of Vitali, Hardy and Krause into itself and satisfy the global Lipschitz condition. Our results extend previous results in this direction by Matkowski and Mis in [Math. Nachr. 117 (1984) 155-159] for n = 1 and the author in [Monatsh. Math. 137(2) (2002) 99-114] for n = 2. (c) 2005 Elsevier Ltd. All rights reserved.

Originele taal-2	English
Pagina's (van-tot)	1-22
Aantal pagina's	22
Tijdschrift	Nonlinear Analysis-Theory Methods & Applications
Volume	63
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1016/j.na.2005.03.072
Status	Published - 1-okt.-2005

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abstract = "We characterize superposition Nemytskii operators, which map the Banach algebra of functions of n real variables with finite total variation in the sense of Vitali, Hardy and Krause into itself and satisfy the global Lipschitz condition. Our results extend previous results in this direction by Matkowski and Mis in [Math. Nachr. 117 (1984) 155-159] for n = 1 and the author in [Monatsh. Math. 137(2) (2002) 99-114] for n = 2. (c) 2005 Elsevier Ltd. All rights reserved.",

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AB - We characterize superposition Nemytskii operators, which map the Banach algebra of functions of n real variables with finite total variation in the sense of Vitali, Hardy and Krause into itself and satisfy the global Lipschitz condition. Our results extend previous results in this direction by Matkowski and Mis in [Math. Nachr. 117 (1984) 155-159] for n = 1 and the author in [Monatsh. Math. 137(2) (2002) 99-114] for n = 2. (c) 2005 Elsevier Ltd. All rights reserved.

KW - functions of several variables

KW - finite total variation

KW - Banach algebra property

KW - superposition operator

KW - Lipschitz condition

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DO - 10.1016/j.na.2005.03.072

M3 - Article

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JF - Nonlinear Analysis-Theory Methods & Applications

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ER -

A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. II

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