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

Keywords:

embedding theorem