CESARO-LIKE OPERATOR ACTING BETWEEN BLOCH TYPE SPACES

Let mu be a finite positive Borel measure on the interval [0,1) and f(z)=Sigma(infinity) (n)=0 a(n)z(n) is an element of H(D). TheCesaro-like operator is defined by C-mu(f(z)=Sigma(infinity)(n=0)(mu(n)(n)Sigma(infinity)(k=0)a(k))z(n),z is an element of D, where, for n >= 0,mu ndenotes then-th moment of the measure mu, that is, mu(n)=integral([0,1)) t(n)d mu(t).In this paper we investigate the action of the operators C-mu from one Bloch type spaces B-alpha in to another one B-beta