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Remarks on a parametric representation of Nevanlinna-Dzhrbashyan classes

Authors:

F. A. Shamoyan

Affiliation:

1. Institute for Mathematics, Armenian Academy of Sciences, USSR

Abstract:

This article presents a parametric representation for classes of functions f that are holomorphic in the unit disk and such that

$int_{\|zeta \|< 1} {(1 - \|zeta \|)^{alpha - 1} log ^ + } \|f(zeta )\|dm_2 (zeta )< + infty (alpha > 0).$

Keywords:
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