Open AccessWeighted integral representations of harmonic functions in the unit disc by means of Mittag-Leffler type kernels
Author(s) -
Feliks Hayrapetyan
Publication year - 2021
Publication title -
armenian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 1
ISSN - 1829-1163
DOI - 10.52737/18291163-2021.13.5-1-11
Subject(s) - mathematics , type (biology) , harmonic , unit (ring theory) , beta (programming language) , pure mathematics , mathematical analysis , weight function , harmonic function , function (biology) , physics , computer science , quantum mechanics , mathematics education , ecology , evolutionary biology , biology , programming language
For weighted $L^p$-classes of functions harmonic in the unit disc, we obtain a family of weighted integral representations with weight function of the type $|w|^{2\varphi}\cdot(1-|w|^{2\rho})^{\beta}$.