Abstract Superposition Operators on Mappings of Bounded Variation of Two Real Variables. I

2005 ◽  
Vol 46 (3) ◽  
pp. 555-571 ◽  
Author(s):  
V. V. Chistyakov
Keyword(s):  
Bounded Variation ◽  
Superposition Operators

Superposition Operators in the Space of Functions of Waterman-Shiba Bounded Variation

2015 ◽  
Vol 54 (1) ◽  
Author(s):  
Jose Gimenez ◽  
Nelson Merentes ◽  
Luz Rodriguez
Keyword(s):  
Bounded Variation ◽  
Superposition Operators

LOCAL BOUNDEDNESS OF NONAUTONOMOUS SUPERPOSITION OPERATORS IN

2015 ◽  
Vol 92 (2) ◽  
pp. 325-341 ◽  
Author(s):  
PIOTR KASPRZAK ◽  
PIOTR MAĆKOWIAK
Keyword(s):  
Bounded Variation ◽  
Bounded Function ◽  
Functions Of Bounded Variation ◽  
Superposition Operator ◽  
Local Boundedness ◽  
Superposition Operators ◽  
Locally Bounded Function

The main goal of this paper is to give the answer to one of the main problems of the theory of nonautonomous superposition operators acting in the space of functions of bounded variation in the sense of Jordan. Namely, we prove that if the superposition operator maps the space $BV[0,1]$ into itself, then it is automatically locally bounded, provided its generator is a locally bounded function.

scholarly journals Nonautonomous superposition operators in the spaces of functions of bounded variation

2016 ◽  
Vol 48 (1) ◽  
pp. 1 ◽  
Author(s):  
Dariusz Bugajewski ◽  
Piotr Kasprzak ◽  
Piotr Maćkowiak ◽  
Daria Bugajewska
Keyword(s):  
Bounded Variation ◽  
Functions Of Bounded Variation ◽  
Superposition Operators

Nonlinear Superposition Operators

1990 ◽  
Author(s):  
Jürgen Appell ◽  
Petr P. Zabrejko
Keyword(s):  
Nonlinear Superposition ◽  
Superposition Operators
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