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Author (up) Chuaqui, M.; Hernandez, R.; Martin, M.J. pdf  doi
  Title Affine and linear invariant families of harmonic mappings Type Journal Article
  Year 2017 Publication Mathematische Annalen Abbreviated Journal Math. Ann.  
  Volume 367 Issue 3-4 Pages 1099-1122  
  Abstract We study the order of affine and linear invariant families of planar harmonic mappings in the unit disk. By using the famous shear construction of Clunie and Sheil-Small, we construct a function to determine the order of the family of mappings with bounded Schwarzian norm. The result shows that finding the order of the class S-H of univalent harmonic mappings can be formulated as a question about Schwarzian norm and, in particular, our result shows consistency between the conjectured order of S-H and the Schwarzian norm of the harmonic Koebe function.  
  Address [Chuaqui, Martin] Pontificia Univ Catolica Chile, Fac Matemat, Casilla 306, Santiago, Chile, Email:;  
  Corporate Author Thesis  
  Publisher Springer Heidelberg Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0025-5831 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000398175700006 Approved no  
  Call Number UAI @ eduardo.moreno @ Serial 717  
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