Composition operator on the space of functions Triebel-Lizorkin and bounded variation type
Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 171-183
M. Moussai; M. Moussai. Composition operator on the space of functions Triebel-Lizorkin and bounded variation type. Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 171-183. http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a3/
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     author = {M. Moussai and M. Moussai},
     title = { Composition operator on the space of functions {Triebel-Lizorkin} and bounded variation type},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {171--183},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a3/}
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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).