We study the following integral operators: J g f (z)= z 0 f (ξ)g (ξ)dξ; I g f (z)= z 0 f (ξ)g(ξ)dξ, where g is an analytic function on the open unit disk in the complex plane. The bounded-ness and compactness of J g , I g between the Bergman-type spaces and the α-Bloch spaces are investigated.

Let μ $$ \mu be a finite Borel measure on [ 0,1 ) \left[0,1\right) . In this paper, we consider the generalized integral type Hilbert operator I α + 1 ( f z = ∫ 0 t − d > {\mathcal{I}}_{\mu_{\alpha +1}}(f)(z)={\int}_0^1\frac{f(t)}{{\left(1- tz\right)}^{\alpha +1}} d\mu (t)\kern0.30em \left(\alpha >-1\right). ...

In this article, we study the space $\mathcal B_\mu(B_X,Y)$ of $Y$-valued Bloch-type functions on unit ball $B_X$ an infinite dimensional Hilbert $X$ with $\mu$ is a normal weight and $Y$ Banach space. We also investigate characterizations $\mathcal{WB}_\mu(B_X)$ $Y$-valued, locally bounded, weakly holomorphic associated B_\mu(B_X)$ scalar-valued in sense that $f\in \mathcal{WB}_\mu(B_X)$ if $w...

We present some formulas for the norm, as well essential of a product composition and an integral operator between Bloch-type spaces analytic functions on unit ball, in terms given symbols weights.