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＜電子ブック＞
Moduli in Modern Mapping Theory / by Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2009.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XII, 367 p. 12 illus : online resource
著者標目	*Martio, Olli author Ryazanov, Vladimir author Srebro, Uri author Yakubov, Eduard author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Functional analysis FREE:Analysis FREE:Functional Analysis
一般注記	and Notation -- Moduli and Capacity -- Moduli and Domains -- Q-Homeomorphisms with Q? Lloc1 -- Q-homeomorphisms with Q in BMO -- More General Q-Homeomorphisms -- Ring Q-Homeomorphisms -- Mappings with Finite Length Distortion (FLD) -- Lower Q-Homeomorphisms -- Mappings with Finite Area Distortion -- On Ring Solutions of the Beltrami Equation -- Homeomorphisms with Finite Mean Dilatations -- On Mapping Theory in Metric Spaces The purpose of this book is to present a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. The modulus method was initiated by Arne Beurling and Lars Ahlfors to study conformal mappings, and later this method was extended and enhanced by several others. The techniques are geometric and they have turned out to be an indispensable tool in the study of quasiconformal and quasiregular mappings as well as their generalizations. The book is based on recent research papers and extends the modulus method beyond the classical applications of the modulus techniques presented in many monographs HTTP:URL=https://doi.org/10.1007/978-0-387-85588-2

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