Mappings with Direct and Inverse Poletsky Inequalities

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Release : 2023-12-22
Genre : Mathematics
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Book Rating : 189/5 ( reviews)

Mappings with Direct and Inverse Poletsky Inequalities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mappings with Direct and Inverse Poletsky Inequalities write by Evgeny Sevost'yanov. This book was released on 2023-12-22. Mappings with Direct and Inverse Poletsky Inequalities available in PDF, EPUB and Kindle. The monograph is devoted to the use of the moduli method in mapping theory, in particular, the meaning of direct and inverse modulus inequalities and their possible applications. The main goal is the development of a modulus technique in the Euclidean space and some metric spaces (manifolds, surfaces, quotient spaces, etc.). Particular attention is paid to the local and boundary behavior of mappings, as well as to obtaining modulus inequalities for some classes. The reader is invited to familiarize himself with all the main achievements of the author, synthesized in this book. The results presented here are of a high scientific level, are new and have no analogues in the world with such a degree of generality.

Mathematical Reviews

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Release : 2005
Genre : Mathematics
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Mathematical Reviews - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Reviews write by . This book was released on 2005. Mathematical Reviews available in PDF, EPUB and Kindle.

Boletín de la Sociedad Matemática Mexicana

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Release : 2003
Genre : Mathematics
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Boletín de la Sociedad Matemática Mexicana - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boletín de la Sociedad Matemática Mexicana write by Sociedad Matemática Mexicana. This book was released on 2003. Boletín de la Sociedad Matemática Mexicana available in PDF, EPUB and Kindle.

Moduli in Modern Mapping Theory

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Release : 2008-11-09
Genre : Mathematics
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Book Rating : 882/5 ( reviews)

Moduli in Modern Mapping Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moduli in Modern Mapping Theory write by Olli Martio. This book was released on 2008-11-09. Moduli in Modern Mapping Theory available in PDF, EPUB and Kindle. Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography.

Quasiregular Mappings

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 019/5 ( reviews)

Quasiregular Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quasiregular Mappings write by Seppo Rickman. This book was released on 2012-12-06. Quasiregular Mappings available in PDF, EPUB and Kindle. Quasiregular Mappings extend quasiconformal theory to the noninjective case.They give a natural and beautiful generalization of the geometric aspects ofthe theory of analytic functions of one complex variable to Euclidean n-space or, more generally, to Riemannian n-manifolds. This book is a self-contained exposition of the subject. A braod spectrum of results of both analytic and geometric character are presented, and the methods vary accordingly. The main tools are the variational integral method and the extremal length method, both of which are thoroughly developed here. Reshetnyak's basic theorem on discreteness and openness is used from the beginning, but the proof by means of variational integrals is postponed until near the end. Thus, the method of extremal length is being used at an early stage and leads, among other things, to geometric proofs of Picard-type theorems and a defect relation, which are some of the high points of the present book.