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Field name	Details
Title	Infinitesimal Geometry of Quasiconformal and Bi-Lipschitz Mappings in the Plane ([EBook] /) / Bogdan Bojarski, Vladimir Gutlyanskii, Olli Martio, Vladimir Ryazanov
Author	Bojarski, Bogdan
Added Personal Name	Gutlyanskii, Vladimir
	Martio, Olli
	Ryazanov, Vladimir
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2013
Physical Details	1 online resource (214 pages)
Series	EMS Tracts in Mathematics (ETM) ; 19
ISBN	9783037196229
Summary Note	This book is intended for researchers interested in new aspects of local behavior of plane mappings and their applications. The presentation is self-contained, but the reader is assumed to know basic complex and real analysis. The study of the local and boundary behavior of quasiconformal and bi-Lipschitz mappings in the plane forms the core of the book. The concept of the infinitesimal space is used to investigate the behavior of a mapping at points without differentiability. This concept, based on compactness properties, is applied to regularity problems of quasiconformal mappings and quasiconformal curves, boundary behavior, weak and asymptotic conformality, local winding properties, variation of quasiconformal mappings, and criteria of univalence. Quasiconformal and bi-Lipschitz mappings are instrumental for understanding elasticity, control theory and tomography and the book also offers a new look at the classical areas such as the boundary regularity of a conformal map. Complicated local behavior is illustrated by many examples. The text offers a detailed development of the background for graduate students and researchers. Starting with the classical methods to study quasiconformal mappings, this treatment advances to the concept of the infinitesimal space and then relates it to other regularity properties of mappings in Part II. The new unexpected connections between quasiconformal and bi-Lipschitz mappings are treated in Part III. There is an extensive bibliography.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/122
See Also	https://www.ems-ph.org/img/books/bojarski_mini.jpg
Links to Related Works	Subject References: Calculus & mathematical analysis . Functions of a Complex Variable . Partial differential equations . Authors: author . Bojarski, Bogdan . Gutlyanskii, Vladimir . Martio, Olli . Ryazanov, Vladimir . Series: EMS Tracts in Mathematics (ETM) .

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Infinitesimal Geometry of Quasiconformal and Bi-Lipschitz Mappings in the Plane

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