Addendum to the Paper “A note on Weighted bergman Spaces and the cesaro operator”
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولWeighted composition operators on weighted Bergman spaces and weighted Bloch spaces
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 $mathbb{C}^n$.
متن کاملOperators on weighted Bergman spaces
Let ρ : (0, 1] → R+ be a weight function and let X be a complex Banach space. We denote by A1,ρ(D) the space of analytic functions in the disc D such that ∫ D |f(z)|ρ(1 − |z|)dA(z) < ∞ and by Blochρ(X) the space of analytic functions in the disc D with values in X such that sup|z|<1 1−|z| ρ(1−|z|)‖F ′(z)‖ < ∞. We prove that, under certain assumptions on the weight, the space of bounded operator...
متن کاملWeighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane
and Applied Analysis 3 Let β > 0. The weighted-type space or growth space on the upper half-planeA∞ β Π consists of all f ∈ H Π such that ∥ ∥f ∥ ∥ A∞ β Π sup z∈Π Iz β ∣ ∣f z ∣ ∣ < ∞. 1.7 It is easy to check thatA∞ β Π is a Banach space with the norm defined above. For weightedtype spaces on the unit disk, polydisk, or the unit ball see, for example, papers 10, 32, 33 and the references therein....
متن کاملA Note on the Boundedness of Operators on Weighted Bergman Spaces
Let ρ be a weight function, let X be a complex Banach space and let Bρ denote the space of analytic functions in the disc D such that R 1 0 ρ(1 − r)M1(f ′, r) dr < ∞, we prove that, under certain assumptions on the weight, the space of bounded operators L(Bρ,X) is isometrically isomorphic to the space Λρ(X) of X-valued analytic functions such that ‖F ′(z)‖ = O ρ(1−|z|) 1−|z| . Several applicati...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2005
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000009193