In this paper, we consider a generalized integration operator Ig,φ(n)f(z)=∫0zf(n)(φ(ζ))g(ζ)dζ$$I_{g,varphi }^{(n)} f(z) = intlimits_0^z {f^{(n)} (varphi (zeta ))g(zeta )dzeta } $$ induced by holomorphic maps g and φ of the open unit disk ?, where φ (?) ⊂ ? and n is a positive integer. We characterize boundedness and compactness of Ig,φ(n)$I_{g,varphi }^{(n)} $ from Bloch type spaces to weighted BMOA spaces by using logarithmic Carleson measure characterization of the weighted BMOA spaces.
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