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

#### Armenian Journal of Mathematics

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 Field Value Title On a family of weighted $\overline\partial$-integral representations in the unit disc Creator Hayrapetyan, Feliks Subject Smooth Functions in the Unit Disc Weighted Function Spaces Weighted $\overline{\partial}$-Integral Representations 30C40 30H10 30H20 30E20 32W05 Description 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 $f = P(f) - T(\overline{\partial} f)$. Publisher National Academy of Sciences of Armenia Date 2020-12-25 Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article Format application/pdf Identifier http://armjmath.sci.am/index.php/ajm/article/view/491 Source Armenian Journal of Mathematics; Vol. 12 No. 11 (2020): On a family of weighted $\overline\partial$-integral representations in the unit disc; 1-16 1829-1163 Language eng Relation http://armjmath.sci.am/index.php/ajm/article/view/491/164 Rights Copyright (c) 2020 Armenian Journal of Mathematics http://creativecommons.org/licenses/by/4.0