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Titlebook: Quasiconformal Mappings and Analysis; A Collection of Pape Peter Duren,Juha Heinonen,Bruce Palka Book 1998 Springer Science+Business Media

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The Gehring Lemma,, the theory of quasiconformal mappings has enjoyed an extensive development. Reverse Hölder inequalities represent one of Fred’s supreme accomplishments, with enormous repercussions for nonlinear PDEs. I am pleased to acknowledge the immense influence Fred has had on me and my work. His wonderful l
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Extremal Extensions from the Circle to the Disk,plex-valued boundary values, and, secondly, the . (abbreviated EQC) extensions of . boundary values. We formulate the first problem as follows. Let., be a continuous complex-valued function. It will often be convenient to normalize . by the conditions
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Construction of Quasiregular Mappings,“mappings with bounded distortion” and defined them by means of the so called analytic definition of quasiconformal mappings leaving out the homeomorphism requirement. One of Reshetnyak’s main result in the theory is that, if not constant, a quasiregular mapping is discrete and open. This means that
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F.W. Gehring: A Biographical Sketch,ofessor at the University of Michigan (UM) who later became Dean of the Literary College. She and Carl met as undergraduates at UM. She went on to complete a Ph.D. in German and became a foreign language examiner for the UM Graduate School.
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Fred Gehring and Finnish Mathematics,matics on Fred, were exceptionally strong. In order to tell the whole story, which could also be entitled “How Fred became a quasi-person,” let me go back all the way to the time when serious mathematical research began in Finland.
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Extremal Quasiconformal Mappings in Plane Domains,nd 10 report some results from [EL], and Section 11 reports some results obtained by Nikola Lakic while this paper was in progress. The interested reader can learn more about extremal mappings from Kurt Strebel’s survey article [St3] and Edgar Reich’s paper [R3] in this volume, both of which we highly recommend.
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