On a family of weighted $\overline\partial$-integral representations in the unit disc

For weighted $L^p$-classess of $C^1$-functions in the unit disc with weight function of the type $|w|^{2\gamma}\cdot(1-|w|^{2\rho})^{\alpha}$, we obtain a family of weighted $\overline{\partial}$-integral representations of the type $f = P(f) - T(\overline{\partial} f)$.

Bibliographic Details
Main Author: Feliks Hayrapetyan
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2020-12-01
Series:Armenian Journal of Mathematics
Subjects:
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/491