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Tangential asymptotic values of bounded analytic functions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Satyanarayana, U. V. Weiss, Max L. |
| Copyright Year | 1973 |
| Abstract | Suppose /'is a bounded analytic function on the unit disc whose Fatou boundary function is approximately continuous from above at 1 with value 0. It is well known that /'tends to zero radially and therefore along every nontangential arc. Tanaka [3] and Boehme and Weiss [1] have shown that / must also tend to zero along certain arcs which are tangential from above. The purpose of this paper is to improve their results by producing a larger collection of such tangential arcs along which /'tends to zero. We construct a class of examples to show that our result is actually better. |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-1973-0318498-X |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1973-041-01/S0002-9939-1973-0318498-X/S0002-9939-1973-0318498-X.pdf |
| Alternate Webpage(s) | https://www.ams.org/journals/proc/1973-041-01/S0002-9939-1973-0318498-X/S0002-9939-1973-0318498-X.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9939-1973-0318498-X |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
