A Note on Holomorphic Spaces Defined with the Help of Luzin Cone and Area Integral
The goal of this note is to introduce a new approach to a known problem of finding estimates for ``analytic quazinorms" with Luzin area integral or Luzin cone $\Gamma_\alpha(\xi)$ in them, namely we use new connections between Luzin Area integral and $p$-Carleson measures and apply classical i...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Republic of Armenia National Academy of Sciences
2009-01-01
|
| Series: | Armenian Journal of Mathematics |
| Online Access: | http://armjmath.sci.am/index.php/ajm/article/view/46 |
| Summary: | The goal of this note is to introduce a new approach to a known problem of finding estimates for ``analytic quazinorms" with Luzin area integral or Luzin cone $\Gamma_\alpha(\xi)$ in them, namely we use new connections between Luzin Area integral and $p$-Carleson measures and apply classical interpolation theorems of real analysis to get various new inequalities for analytic functions in the unit disk and polydisk.
|
|---|---|
| ISSN: | 1829-1163 |