Mappings with Direct and Inverse Poletsky Inequalities
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
One-of-a-kind publication dedicated to the study of modulus inequalities Develops a modulus technique in the Euclidean space and some metric spaces Enhances reader understanding of local and boundary behavior of mappings
Autor*in
Evgeny Sevost'yanov
Themen in »Mappings with Direct and Inverse Poletsky Inequalities«
Moduli Method Mapping Theory Direct and Inverse Modulus Inequalities Partial Differential Equations Euclidean Space Poletsky Inequalities Quasiconformal Mappings in the Complex Plane Two-Dimensional Potential Theory Quasiconformal Mappings in Metric Spaces Geometric Function Theory
Stimmen zu »Mappings with Direct and Inverse Poletsky Inequalities«
“The book may be of interest for teachers and researchers in complex analysis and, more generally, those in function theory. Since 2009, there have been a great volume of facts derived from this theory of mappings, particularly those defined by modular inequalities. Therefore, such a book as this is very useful. The style of the author is that of a professor teaching a course to students, very clear; he tries to be as self-contained … .” (Mihai Cristea, Mathematical Reviews, February, 2025)
()