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A collection of surveys on function theory in Euclidean n-dimensional spaces centred around the theme of quasiconformal space mappings. The papers cover or are related to several topics including inequalities for conformal invariants and extreme length, and nonlinear potential theory.

This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to...