On a new generalized integral-type operator from mixed-norm spaces to Bloch-type spaces.

Let φ be an analytic self-map of unit disk D, H(D) the space of analytic functions on D, and g ∈ H(D). For an analytic function f(z) = Σn=0∞ anzn on D, the generalized integral-type operator Cφ,g[β] is defined by (Cφ,g[β]f) (z) = ∫0z f[β](φ(w))g(w)dw, z ∈ D, where β ≥ 0, f[β](z) = ... and f[0](z) = f(z). The boundedness and compactness of Cφ,g[β] from mixed-norm spaces H(p, q, μ) to Bloch-type spaces Bω are discussed in this paper. [ABSTRACT FROM AUTHOR]