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Medientyp:
E-Artikel
Titel:
QUASICONFORMAL MAPS AND TEICMÜLLER THEORY - EXTREMAL MAPPINGS, OVERVIEW
Beteiligte:
MATELJEVIĆ, M.
Erschienen:
Académie serbe des sciences et des arts, 2013
Erschienen in:Bulletin (Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathématiques)
Sprache:
Englisch
ISSN:
0561-7332;
2406-0909
Entstehung:
Anmerkungen:
Beschreibung:
<p>In the first part we give a short review of Teicmüller theory. In the second parí, we study the conditions under which unique extremality of quasiconformal mappings occurs, and we provide a broader point of view of the phenomenon of unique extremality. Furthermore, we make some contributions to what we refer to as the Teichmüller research question. In particular we report a positive answer to this question if μ is uniquely extremal on a domain G and the lower oscillation of μ is less than L∞-norm of μ expect on a discrete set in G. Additional information is obtained by means of specialized constructions. In particular we review some results from [Ma8], in which we generalize the construction theorem in [BLMM], thus providing a more basic understanding of it We also announce some results related extremal mappings in 3 dimensions.</p>