In this paper, some new versions of Bohr-type inequalities with one parameter or involving convex combination for bounded analytic functions of Schwarz function are established. Some previous inequalities are generalized. All the results are sharp.
We pose an interpolation problem for the space of bounded analytic functions in the disk. The interpolation is performed by a function and its di˛erence of values in points whose subscripts are related by an increasing application. We impose that the data values satisfy certain conditions related to the pseudohyperbolic distance, and characterize interpolating sequences in terms of uniformly separated subsequences.
<abstract><p>In this paper, some new versions of Bohr-type inequalities for bounded analytic functions of Schwarz functions are established. Most of these inequalities are sharp. Some previous inequalities are generalized.</p></abstract>
Variability regions for the second derivative of bounded analytic functions
