On Bloch‐Type Functions with Hadamard Gaps

Stevo Stević

Abstract and Applied Analysis, 2007, vol. 2007, issue 1

Abstract: We give some sufficient and necessary conditions for an analytic function f on the unit ball B with Hadamard gaps, that is, for f(z)=∑k=1∞Pnk(z) (the homogeneous polynomial expansion of f) satisfying nk+1/nk ≥ λ > 1 for all k ∈ ℕ, to belong to the space ℬpα(B)={f|sup0

Date: 2007
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https://doi.org/10.1155/2007/39176

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:039176

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