On the dual space of a weighted Bergman space on the unit ball ofCn

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...

Atomic Decomposition for Weighted Bergman Space La on the Unit Ball of C

Throughout this paper by using the frame theory we give a short proof for atomic decomposition for weighted Bergman space. In fact we show that the weighted Bergman space L 2 a (dA α) admit an atomic decomposition i.e every analytic function in this space can be presented as a linear combination of " atoms " defined using the normalized reproducing kernel of this space .

Composition Operators from the Weighted Bergman Space to the nth Weighted Spaces on the Unit Disc

Isometries of a Bergman-Privalov-Type Space on the Unit Ball

We introduce a new space ANlog,α B consisting of all holomorphic functions on the unit ball B ⊂ C such that ‖f‖ANlog,α : ∫ B φe ln 1 |f z | dVα z < ∞, where α > −1, dVα z cα,n 1 − |z| dV z dV z is the normalized Lebesgue volume measure on B, and cα,n is a normalization constant, that is, Vα B 1 , and φe t t ln e t for t ∈ 0,∞ . Some basic properties of this space are presented. Among other resu...

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