This article is cited in 6 papers

Remarks on a parametric representation of Nevanlinna–Dzhrbashyan classes

F. A. Shamoyan

Institute of Mathematics, National Academy of Sciences of Armenia

Abstract: This article presents a parametric representation for classes of functions f that are holomorphic in the unit disk and such that
$$ \int_{|\xi|<1}(1-|\xi|)^{\alpha-1}\log^+|f(\xi)|dm_2(\xi)<+\infty \quad (\alpha>0). $$
Here $m_2$ is the flat Lebesque measure.

UDC: 517.547

Received: 26.12.1989

 English version: Mathematical Notes, 1992, 52:1, 727–737

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