Spectral notions for conformal maps: a survey
2008 (English)In: Computational methods in Function Theory, ISSN 1617-9447, Vol. 8, no 2, 447-474 p.Article in journal (Refereed) Published
The universal means spectrum of conformal mappingshas been studied extensively in recent years. In some situations,sharp results are available, in others, only upper and lower estimateshave been obtained so far. We review some of the classicalresults before discussing the recent work of Hedenmalm andShimorin on estimates of the universal means spectrum near theorigin. It is our ambition to explain how their method works andwhat its limitations are. We then move on to the recent studyof the universal means spectrum of bounded functions near thepoint two conducted by Baranov and Hedenmalm. A number ofopen problems related to these topics are pointed out together withsome auxilliary results which are interesting in their own right.
Place, publisher, year, edition, pages
2008. Vol. 8, no 2, 447-474 p.
IdentifiersURN: urn:nbn:se:kth:diva-7044OAI: oai:DiVA.org:kth-7044DiVA: diva2:11932
QC 200104142007-05-042007-05-042010-11-17Bibliographically approved