Weighted Composition Operator from Mixed Norm Space to Bloch-Type Space on the Unit Ball

Generalized 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...

Weighted 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

Weighted 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.

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...

Essential Norms of Weighted Composition Operators from the -Bloch Space to a Weighted-Type Space on the Unit Ball