Diameters of certain classes of functions analytic in the unit disc. I

For specific classes of functions which are analytic on the unit disc, precise values are obtained for certain types of diameters in the Bergman space H q, q 1, and in the space B(p, q, ), 0 < p < q ; q, 1, studied by M. I. Gvaradze.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 7, pp. 873–881, July, 1990.