INTERPOLATING-SEQUENCES FOR THE DERIVATIVES OF BLOCH FUNCTIONS

We prove that sufficiently separated sequences are interpolating sequences for f'(z)(1 - \z\2) where f is a Bloch function. If the sequence {z(n)} is an eta-net then the boundedness of f'(z)(1 - \z\2) on {z(n)} is a sufficient condition for f to be a Bloch function. The essential norm of a Hankel operator with a conjugate analytic symbol fBAR acting on the Bergman space is shown to be equivalent to lim sup\z\ --> 1 \f'(z)\(1 - \z\2).