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.

中文翻译：

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Mittag-Leffler核在单位圆盘中全纯函数的加权积分表示

摘要

对于单位圆盘中全纯函数的加权\（L ^ {p} \）-类，其加权函数类型为\（| w | ^ {2 \ varphi} \ cdot（1- | w | ^ {2 \ rho}）^ {\ beta} \）并复制Mittag-Leffler内核。