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

Abstract

For a Borel-measurable function f: R ® R satisfying f(0) = 0 and we study the composition operator Tf(g) := f \circ g, on Triebel-Lizorkin spaces Fsp,q(Rn) in the case 0 < s < 1 + (1/p).