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Cubo (Temuco)

versão On-line ISSN 0719-0646

Resumo

WOLF, Elke. Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. Cubo [online]. 2010, vol.12, n.2, pp.19-27. ISSN 0719-0646.  http://dx.doi.org/10.4067/S0719-06462010000200002.

We consider analytic self-maps ø‑1, ø ‑2 of the open unit disk as well as analytic mapsψ 1, ψ2. These maps induce differences of weighted composition operators acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. In this article we give necessary and sufficient conditions for such a difference to be bounded resp. compact.

Palavras-chave : weighted composition operators; weighted Bloch type spaces; weighted Banach spaces of holomorphic functions.

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