Weak compactness and essential norms of integration operators

Jussi Laitila, Santeri Miihkinen, Pekka J. Nieminen

Let $g$ be an analytic function on the unit disc and consider the integration operator of the form $T_{g}f(z)={\int }_0^{z}f{g}^{\prime }d\zeta$. We show that on the spaces $H^1$ and $BMOA$ the op…