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Fredholmness of multiplication of a weighted composition operator with its adjoint on [Formula: see text] and [Formula: see text]

In this paper, we obtain that [Formula: see text] is bounded below on [Formula: see text] or [Formula: see text] if and only if [Formula: see text] is invertible. Moreover, we investigate the Fredholm operators [Formula: see text] and [Formula: see text] on [Formula: see text] and [Formula: see text...

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Detalles Bibliográficos
Autor principal: Haji Shaabani, Mahmood
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5778192/
https://www.ncbi.nlm.nih.gov/pubmed/29398877
http://dx.doi.org/10.1186/s13660-018-1615-0
Descripción
Sumario:In this paper, we obtain that [Formula: see text] is bounded below on [Formula: see text] or [Formula: see text] if and only if [Formula: see text] is invertible. Moreover, we investigate the Fredholm operators [Formula: see text] and [Formula: see text] on [Formula: see text] and [Formula: see text] .