Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 171-183
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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/
@article{AMUC_2012_81_2_a3,
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},
volume = {81},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a3/}
}
TY - JOUR
AU - M. Moussai
AU - M. Moussai
TI - Composition operator on the space of functions Triebel-Lizorkin and bounded variation type
JO - Acta mathematica Universitatis Comenianae
PY - 2012
SP - 171
EP - 183
VL - 81
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a3/
ID - AMUC_2012_81_2_a3
ER -
%0 Journal Article
%A M. Moussai
%A M. Moussai
%T Composition operator on the space of functions Triebel-Lizorkin and bounded variation type
%J Acta mathematica Universitatis Comenianae
%D 2012
%P 171-183
%V 81
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a3/
%F AMUC_2012_81_2_a3
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).