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 $f = P(f) - T(\overline{\partial} f)$.
| Main Author: | |
|---|---|
| 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 |
| 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 $f = P(f) - T(\overline{\partial} f)$.
|
|---|---|
| ISSN: | 1829-1163 |