A DERIVATIVE-HILBERT OPERATOR ACTING FROM LOGARITHMIC BLOCH SPACES TO BERGMAN SPACES

Let μ be a positive Borel measure on the interval [0,1).The Hankel matrix Hμ=(μn,k)n,k≥0 with entries μn,k=μn+k,where μ_n=∫[0,1)t~n dμ（t）,induces,formally,the operator ■ where ■ is an analytic function in D.We characterize the measures μ for which DHμ is bounded（resp.,compact） operator from the logarithmic Bloch space ■ into the Bergman space Ap,where 0≤α<∞,0 μ is bounded（resp.,compact） operator from the logarithmic Bloch space ■ into the classical Bloch space ■.