Abstract
Let H p, p ∈ (0, ∞], BMOA and B a, a ∈ (0, ∞) be the classical p-Hardy, analytic BMO(∂) (bounded mean oscillation on the unit circle) and a-Bloch space on the unit disk. In this paper, we prove that the Cesàro-type operator: C α, α ∈ (−1, ∞) is bounded on H p, p ∈ (0, ∞) and on B a, a ∈ (1, ∞), but, unbounded on H ∞, BMOA and B a, a ∈ (0, 1]. In particular, we give an answer to the Stempak’s open problem.
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