Holomorphic besov spaces $B^p$, $0<p<1$, on bounded symmetric domains


Miroljub Jevtić




We define and study a class of holomorphic Besov type spaces $B^p$, $0<p<1$, on bounded symmetric domains $\Omega$. A description of these Besov spaces is given in terms of differential operators. It is shown that $B^p$, $0<p<1$, can be naturally embedded as a complemented subspace of the space $L^{1,p}(0,d\tau)$.