Quasiconformal Mappings and Analysis

In honor of Frederick W. Gehring on the occasion of his 70th birthday, an international conference on "Quasiconformal mappings and analysis" was held in Ann Arbor in August 1995. The 9 main speakers of the conference (Astala, Earle, Jones, Kra, Lehto, Martin, Pommerenke, Sullivan, and Vaisala) provide broad expository articles on various aspects of quasiconformal mappings and their relations to other areas of analysis. 12 other distinguished mathematicians contribute articles to this volume.

Klappentext
In August 1995 an international symposium on "Quasiconformal Mappings and Analysis" was held in Ann Arbor on the occasion of Professor Fred erick W. Gehring's 70th birthday and his impending retirement from the Mathematics Department at the University of Michigan. The concept of the symposium was to feature broad survey talks on a wide array of topics related to Gehring's basic research contributions in the field of quasicon formal mappings, emphasizing their relations to other parts of analysis. Principal speakers were Kari Astala, Albert Baernstein, Clifford Earle, Pe ter Jones, Irwin Kra, OUi Lehto, Gaven Martin, Dennis Sullivan, and Jussi Vaisala. Financial support was provided by the National Science Founda tion, with additional grants from the University of Michigan and from the Institute for Mathematics and its Applications. The symposium was a great success. The speakers rose to the occasion and presented excellent survey lectures. The present volume was conceived as a means for disseminating those expositions to a wider audience. Ad ditional mathematicians, some of whom had not been able to attend the symposium, were invited to contribute similar articles. The result is a fit ting tribute to Fred Gehring's pre-eminent role in developing the theory of quasiconformal mappings, through his own research and writings and lec tures, and through his supervision of graduate students. The volume begins with descriptions of Gehring's mathematical career and an overview of his research achievements.

Zusammenfassung
Offers a selection of expository articles that were written in conjunction with an international conference held to honor FW Gehring on the occasion of his 70th birthday. This book aims to survey various topics related to Gehring's fundamental research in the field of quasiconformal mappings.

Inhalt
F.W. Gehring: A Biographical Sketch.- The Mathematics of F.W. Gehring.- Publications of F.W. Gehring.- Ph.D. Students of F.W. Gehring.- Fred Gehring and Finnish Mathematics.- Planar Quasiconformal Mappings;Deformations and Interactions.- Local Minimality Results Related to the Bloch and Landau Constants.- The Apollonian Metric of a Domain in $$ {\mathbb{R}^n} $$.- Conjugacy Invariants of Möbius Groups.- Extremal Quasiconformal Mappings in Plane Domains.- On the Asymptotic Behavior of Quasiconformal Mappings in Space.- The Gehring Lemma.- Old and New on the Quasihyperbolic Metric.- Kleinian Groups; Eichler Cohomology and the Complex Theory.- On the Geometry of Kleinian Groups.- Old and New on the Schwarzian Derivative.- The Gehring-Hayman Inequality in Conformal Mapping.- Extremal Extensions from the Circle to the Disk.- Construction of Quasiregular Mappings.- Mappings and Spaces.- Questions on Quasiconformal Maps in Space.- List of Contributors.

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