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

Abstract

For weighted $$L^{p}$$ -classes of holomorphic functions in the unit disc, a family of weighted integral representations with a weighted function of type $$|w|^{2\varphi}\cdot(1-|w|^{2\rho})^{\beta}$$ and with reproducing Mittag–Leffler kernels are obtained.