on bloch-type functions with hadamard gaps

on bloch-type functions with hadamard gaps

;Stevo Stevic
science and technology of advanced materials 2007 Vol. 2007 pp. -
71
stevic2007abstracton

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

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254347
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10.1155/2007/39176
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