Weighted integral representations of harmonic functions in the unit disc by means of Mittag-Leffler type kernels

Feliks Hayrapetyan

doi:10.52737/18291163-2021.13.5-1-11

Authors

Feliks Hayrapetyan Yerevan State University

DOI:

https://doi.org/10.52737/18291163-2021.13.5-1-11

Keywords:

Harmonic Functions in the Unit Disc, Weighted Function Space, Weighted Integral Representation

Abstract

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 $|w|^{2\varphi}\cdot(1-|w|^{2\rho})^{\beta}$.

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