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Mappings with Direct and Inverse Poletsky Inequalities

Mappings with Direct and Inverse Poletsky Inequalities

Hardcover

Series: Developments in Mathematics, Book 78

General Mathematics

ISBN10: 3031454170
ISBN13: 9783031454172
Publisher: Springer
Published: Nov 18 2023
Pages: 433
Weight: 1.76
Height: 1.00 Width: 6.14 Depth: 9.21
Language: English

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.

Also from

Sevost'yanov, Evgeny

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General Mathematics