Av( Av(z)) =z and identities (1) and (3) we have For an analytic function f on D and 0 <t <1 the dilate ft is the function defined by f(z) = f(tz). It is known that for an analytic function f on D: We briefly discuss the little Bloch space BO. The set of all analytic functions f on D for which Taking limit as w-—»z in the condition of the statement, we get III. CONTAINMENT RESULTS OF BLOCH AND LITTLE BLOCH SPACE Let @ bea bounded analytic function on D, then there exists a constant
