Geodesic
On reducibility of the weighted composition operators
Problemy fiziki, matematiki i tehniki, no. 2 (2015), pp. 75-82

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The question under consideration is reduction of a weighted composition operator to an operator with invariant coefficient by Liapunov transformation. Topological obstruction to be reducible is described in the case of periodic mapping generating operator. Explicit form of the corresponding Liapunov transformation is given.
Keywords: weighted composition operator, reducibility
Mots-clés : Liapunov transformation, Cauchy index, homological equation. 
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     author = {Teube Cyrille Mbainaissem and Serine Alou Lo and Moussa Ould Ahmed Salem},
     title = {On reducibility of the weighted composition operators},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_2_a12/}
}
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Teube Cyrille Mbainaissem; Serine Alou Lo; Moussa Ould Ahmed Salem. On reducibility of the weighted composition operators. Problemy fiziki, matematiki i tehniki, no. 2 (2015), pp. 75-82. http://geodesic.mathdoc.fr/item/PFMT_2015_2_a12/