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An embedding theorem for some classes of analytic functions. (Russian) Zbl 0603.30060

Conditions for the measure \(\mu\) are obtained in a unit circle of the complex plane, for which the class of analytic functions summable over the area with the power p can be embedded restrictively into the space of functions summable in the measure \(\mu\) with the power q, where \(0<q<p<2\). It is noted that the results obtained can be easily generalized to other spaces.
Reviewer: O.Dumbrajs

MSC:

30H05 Spaces of bounded analytic functions of one complex variable
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