On an integral-type operator from the Bloch space into the QK(p,q) 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...
متن کاملWeighted Composition Operator from Bers-Type Space to Bloch-Type Space on the Unit Ball
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
متن کاملWeighted Composition Operator from Bloch–type Space to H∞ Space on the Unit Ball
In this paper, we characterize those holomorphic symbols u on the unit ball B and holomorphic self-mappings φ of B for which the weighted composition operator uCφ is bounded or compact from Bloch-type space to H∞ space. Mathematics subject classification (2010): Primary 47B33; Secondary 47B38.
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 کاملGeneralized Composition Operator from Bloch–type Spaces to Mixed–norm Space on the Unit Ball
Let H(B) be the space of all holomorphic functions on the unit ball B in CN , and S(B) the collection of all holomorphic self-maps of B . Let φ ∈ S(B) and g ∈ H(B) with g(0) = 0 , the generalized composition operator is defined by C φ ( f )(z) = ∫ 1 0 R f (φ(tz))g(tz) dt t , Here, we characterize the boundedness and compactness of the generalized composition operator acting from Bloch-type spac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2012
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1202331l