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Composition operator on the space of functions Triebel-Lizorkin and bounded variation type

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Author(s): M. Moussai

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 2;
Start page: 171;
Date: 2012;
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Keywords: Triebel-Lizorkin spaces | Besov spaces | functions of bounded variation | composition operators

ABSTRACT
For a Borel-measurable function $f:mathbb Rightarrowmathbb R$ satisfying $f(0)=0$ and[sup_{t>0}t^{-1}int_{mathbb R},sup_{|h|leq t} |f'(x+h)-f'(x)|^{p},{m d}x
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