![Sample our Computer Science journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5928/TOC-Subject-Sample-2021-Computer-Science.jpg"})
If a sense-preserving harmonic mapping has dilatation of unit modulus on some boundary are, then it maps that are onto a concave are unless it is piecewise constant A theorem to this effect is proved with the aid of Hopf's lemma. A corollary is that if a harmonic mapping of the disk onto a convex domain extends to a “regular” homeomorphism of the closures, then it is quasiconformal.
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
