Weighted Integral Representations of Holomorphic Functions in the Unit Disc by Mittag-Leffler Kernels

摘要

For weighted L-p-classes of holomorphic functions in the unit disc, a family of weighted integral representations with a weighted function of type vertical bar w vertical bar(2 phi). (1 - vertical bar w vertical bar(2 rho))(beta) and with reproducing Mittag-Leffler kernels are obtained.