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 $f = P(f) - T(\overline{\partial} f)$.
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Format: | Article |
Language: | English |
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Republic of Armenia National Academy of Sciences
2020-12-01
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Series: | Armenian Journal of Mathematics |
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Online Access: | http://armjmath.sci.am/index.php/ajm/article/view/491 |
Summary: | 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 $f = P(f) - T(\overline{\partial} f)$.
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ISSN: | 1829-1163 |