Some subclasses of BMOA and their characterization in terms of Carleson measures
The authors study a collection of subclasses of BMOA defined by means of a modified Garcia norm and show that these classes are equivalently defined by means of a modified Carleson measure. They extend a result of C. Fefferman on series with nonnegative coefficients to these classes and also compare them with the classes of mean Lipschitz functions. Finally they show some clear differences between the analytic and meromorphic cases of these classes.
scientific article; zbMATH DE number 944404
scientific article