Download or read book Exceptional Sets and Boundary Behavior of Quasiregular Mappings in N space written by Matti Vuorinen and published by . This book was released on 1976 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Conformal Geometry and Quasiregular Mappings written by Matti Vuorinen and published by Springer. This book was released on 2006-11-15 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical two-dimensional problem of O. Teichmüller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the two-dimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems.

Download or read book Conformally Invariant Metrics and Quasiconformal Mappings written by Parisa Hariri and published by Springer Nature. This book was released on 2020-04-11 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.

Download or read book Mappings with Direct and Inverse Poletsky Inequalities written by Evgeny Sevost'yanov and published by Springer Nature. This book was released on 2023-12-22 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Mathematica Scandinavica written by and published by . This book was released on 1983 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book QUASIREGULAR MAPPINGS AND ROYDEN ALGEBRAS written by NATHAN RAY SODERBORG and published by . This book was released on 1991 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: quasiregular mapping induced by T:A($\Omega \sp\prime )\to \rm A \subset A(\Omega)$ is bounded above by $\Vert$T$\Vert \sp{\rm n \sp2}$.

Download or read book Moduli in Modern Mapping Theory written by Olli Martio and published by Springer Science & Business Media. This book was released on 2008-11-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Complex Analysis written by Julian Ławrynowicz and published by . This book was released on 1983 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Romanian Finnish Seminar on Complex Analysis written by C. Andreian Cazacu and published by Springer. This book was released on 2006-11-14 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Report written by and published by . This book was released on 1989 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annales written by and published by . This book was released on 1990 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reports written by and published by . This book was released on 2000 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings of the Finnish Academy of Science and Letters written by Suomalainen Tiedeakatemia and published by . This book was released on 1976 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Indiana University Mathematics Journal written by Indiana University. Department of Mathematics and published by . This book was released on 1991 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annales Academiae Scientiarum Fennicae written by and published by . This book was released on 1987 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Upper Density Properties of Hausdorff Measures on Fractals written by Arto Salli and published by . This book was released on 1985 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Revue Roumaine de Math matiques Pures Et Appliqu es written by and published by . This book was released on 2006 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: