“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)
Mappings with Direct and Inverse Poletsky Inequalities
von Evgeny Sevost'yanovThe 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.
