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

Hayrapetyan, Feliks (2020) On a family of weighted $\overline\partial$-integral representations in the unit disc. Armenian Journal of Mathematics, 12 (11). pp. 1-16. ISSN 1829-1163

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## Abstract

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 $f = P(f) - T(\overline{\partial} f)$.

Item Type: Article Smooth Functions in the Unit Disc, Weighted Function Spaces, Weighted $\overline{\partial}$-Integral Representations 30-xx Functions of a complex variable32-xx Several complex variables and analytic spaces 868 Professor Anry Nersesyan 29 Dec 2020 15:21 29 Dec 2020 15:33

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