Essential norm of a product-type operator from Bergman space to weighted-type space
نویسندگان
چکیده
منابع مشابه
On a New Integral-Type Operator from the Weighted Bergman Space to the Bloch-Type Space on the Unit Ball
We introduce an integral-type operator, denoted by P φ , on the space of holomorphic functions on the unit ball B ⊂ C, which is an extension of the product of composition and integral operators on the unit disk. The operator norm of P φ from the weighted Bergman space A p α B to the Bloch-type space Bμ B or the little Bloch-type space Bμ,0 B is calculated. The compactness of the operator is cha...
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In this paper, we characterize the boundedness and compactness of weighted composition operator from Bers-type space to Bloch-type space on the unit ball of Cn. 2010 Mathematics Subject Classification: Primary: 47B38; Secondary: 32A37, 32A38, 32H02, 47B33
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In this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted Dirichlet spaces or Bloch type spaces to $Q_K$ type spaces.
متن کاملNorm and Essential Norm of an Integral-Type Operator from the Dirichlet Space to the Bloch-Type Space on the Unit Ball
and Applied Analysis 3 The weighted-type space H∞ μ B H ∞ μ 2, 3 consists of all f ∈ H B such that ‖f‖H∞ μ : sup z∈B μ z ∣ ∣f z ∣ ∣ < ∞, 1.11 where μ is a positive continuous function on B weight . The Bloch-type space Bμ B Bμ consists of all f ∈ H B such that ‖f‖Bμ : ∣ ∣f 0 ∣ ∣ sup z∈B μ z ∣ ∣Rf z ∣ ∣ < ∞, 1.12 where μ is a weight. Let g ∈ H D , g 0 0, and φ be a holomorphic self-map of B, the...
متن کاملEssential norm of weighted composition operator between α-Bloch space and β-Bloch space in polydiscs
Let ϕ(z) = (ϕ 1 (z),...,ϕ n (z)) be a holomorphic self-map of D n and ψ(z) a holomorphic function on D n , where D n is the unit polydiscs of C n. Let 0 < α, β < 1, we compute the essential norm of a weighted composition operator ψC ϕ between α-Bloch space Ꮾ α (D n) and β-Bloch space Ꮾ β (D n).
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ژورنال
عنوان ژورنال: The Journal of Nonlinear Sciences and Applications
سال: 2017
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.010.08.21