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Weighted Integral Representations of Holomorphic Functions in the Unit Disc by Mittag–Leffler Kernels
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) ( IF 0.3 ) Pub Date : 2020-09-15 , DOI: 10.3103/s1068362320040032 F. V. Hayrapetyan
中文翻译:
Mittag-Leffler核在单位圆盘中全纯函数的加权积分表示
更新日期:2020-09-16
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) ( IF 0.3 ) Pub Date : 2020-09-15 , DOI: 10.3103/s1068362320040032 F. V. Hayrapetyan
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:
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。