International Journal of Functional Analysis, Operator Theory and Applications
Volume 6, Issue 1, Pages 15 - 28
(February 2014)
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ON SOLVABILITY OF COHOMOLOGICAL EQUATION IN THE SPACE 
Teubé Cyrille Mbainaissem, Serigne Aliou Lo and Moussa Ould Ahmed Salem
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Abstract:
In the present paper, we continue to investigate the spectral properties of the weighted composition operators represented in the form
 or 
We try to clarify the relationship between the dynamics of the mapping a and the spectral properties of corresponding weighted composition operators. The operators of the form  in the space  are investigated for a special class of mappings. The normal solvability conditions for cohomological equations in the space are given. |
| Keywords and phrases: weighted shift operators, composition operators, cohomological equation. |
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