Abstract

We give a new proof of one known inclusion theorem for the space $\Cal F_0$ that enables us to extend this theorem from the unit disc in $C$ to the unit ball in $C^n$, $n>1$. We also improve an inclusion relation between Bergman spaces and the spaces $\Cal F_{\alpha}$, $\alpha>0$.

Keywords: Fractional Cauchy integral, Hardy space, BMOA, Bergman space.

MSC: 30E20, 30D50, 30D55

Pages:  7$-$11     

Volume  52 ,  Issue  1$-$2 ,  2000