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http://hdl.handle.net/10662/10071
Title: | Uniformly bounded superposition operators in the space of functions of bounded n-dimensional Φ-variation |
Authors: | Bracamonte, M. Ereú, J. Giménez, J. Merentes, N. |
Keywords: | Nemytskij operator;n-dimensional Φ-variation;φ-function;Operador Nemytskij;Función φ;Variación dimensional dimensional n |
Issue Date: | 2014 |
Publisher: | Universidad de Extremadura |
Abstract: | We prove that if a superposition operator maps a subset of the space of all functions of n-dimensional bounded Φ-variation in the sense of Riesz, into another such space, and is uniformly bounded, then the non-linear generator h(x, y) of this operator must be of the form h(x, y) = A(x)y + B(x) where, for every x, A(x) is a linear map. |
URI: | http://hdl.handle.net/10662/10071 |
Appears in Collections: | Extracta Mathematicae Vol. 29, nº 1-2 (2014) |
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2605-5686_29_1-2_19.pdf | 151,66 kB | Adobe PDF | View/Open |
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