ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE



Vol. LXXXI, 2 (2012)
p. 171 - 183
Composition operator on the space of functions Triebel-Lizorkin and bounded variation type

M. Moussai

Received: August 8, 2011;   Accepted: February 15, 2012


Abstract.   For a Borel-measurable function f: R ® R satisfying f(0) = 0 and

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we study the composition operator Tf(g) := f \circ g, on Triebel-Lizorkin spaces Fsp,q(Rn) in the case 0

Keywords:  Triebel-Lizorkin spaces; Besov spaces; functions of bounded variation; composition operators.  

AMS Subject classification: Primary:  46E35; 47H30  


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Acta Mathematica Universitatis Comenianae
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