Geodesic
On weighted solutions of $\overline{\partial}$-equation in the unit disc
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 1, pp. 20-28

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In the paper an equation $\partial g(z)/\partial \overline{z} = v(z)$ is considered in the unit disc $\mathbb{D}$. For $C^k$-functions $v$ $(k = 1,2,3,\dots, \infty)$ from weighted $L^p$-classes $(1 \leq p \infty)$ with weight functions of the type $|z|^{2\gamma} (1-|z|^{2\rho})^{\alpha}$, $z \in \mathbb{D}$, a family $g_{\beta}$ of solutions is constructed ($\beta$ is a complex parameter).
Keywords: $\overline{\partial}$-equation, weighted function spaces. 
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     title = {On weighted solutions of $\overline{\partial}$-equation in the unit disc},
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F. V. Hayrapetyan. On weighted solutions of $\overline{\partial}$-equation in the unit disc. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 1, pp. 20-28. http://geodesic.mathdoc.fr/item/UZERU_2021_55_1_a2/