Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
نویسندگان
چکیده
منابع مشابه
Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
Nosotros consideramos auto aplicaciones φ1, φ2 del disco unitario abierto bien como aplicaciones anaĺıticas ψ1, ψ2. Estas aplicaciones inducen diferencias de composición de operadores con peso actuando entre espacios de Banach pesados de funciones holomorfas y espacios de tipo Bloch con peso. En este art́ıculo damos condiciones necesarias y suficientes para que tal diferencia sea acotada, respec...
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Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$'th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D}) $ such that $sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|begin{align*}left|f right|_{mathcal{W}_...
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Let BX and BY be the open unit balls of the Banach SpacesX and Y , respectively. Let V and W be two countable families of weights on BX and BY , respectively. Let HV (BX) (or HV0 (BX)) and HW (BY ) (or HW0 (BY )) be the weighted Fréchet spaces of holomorphic functions. In this paper, we investigate the holomorphic mappings φ : BX → BY and ψ : BX → C which characterize continuous weighted compos...
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ژورنال
عنوان ژورنال: Cubo (Temuco)
سال: 2010
ISSN: 0719-0646
DOI: 10.4067/s0719-06462010000200002