A Note on Holomorphic Spaces Defined with the Help of Luzin Cone and Area Integral

Authors

  • Romi Shamoyan Department of Mathematics, Bryansk State Pedagogical University, Russian

Abstract

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.

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Published

2009-01-08

How to Cite

Shamoyan, R. (2009). A Note on Holomorphic Spaces Defined with the Help of Luzin Cone and Area Integral. Armenian Journal of Mathematics, 1(4), 32–43. Retrieved from http://armjmath.sci.am/index.php/ajm/article/view/46

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Articles