Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space
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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In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.
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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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We characterize the spectra of bounded weighted composition operators acting on the weighted Banach spaces H∞ v of analytic functions on the unit disc defined for a radial weight v, when the symbol of the operator has a fixed point in the open unit disc. 2000 Mathematics Subject Classification: 47B33, 47B38
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2009
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap96-1-3