The result of this article together with [1] and [4] gives a full quantitative description of a Fatou type property for functions from Hardy classes in the upper half plane.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-2-9, author = {A. Kamaly and A. M. Stokolos}, title = {On the quantitative Fatou property}, journal = {Colloquium Mathematicae}, volume = {91}, year = {2002}, pages = {303-311}, zbl = {1016.42003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-2-9} }
A. Kamaly; A. M. Stokolos. On the quantitative Fatou property. Colloquium Mathematicae, Tome 91 (2002) pp. 303-311. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-2-9/