Quasiconformal Mappings and Sobolev Spaces

by V.M. Gol'dshtein, YU.G. Reshetnyak

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Format Hardcover

Condition Brand New

Description A study of the interconnection between Sobolev spaces, geometric classes of mappings (quasiconformal and quasiisometric) and nonlinear capacity. Chapter 1 introduces the terminology and auxiliary results used. Chapter 2 deals with the foundations of the theory of classes of functions with generalize

Publisher Description

'Ht moi, ..., si j'avait su comment en revenir, One lemce mathematics has rendered the je n'y serai. point aile.' human race. It has put common sense back Jule. Verne ..."'" it belong., on the topmost shelf next to the dusty caniller labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'~re of this series.

Details

  • ISBN 0792305434
  • ISBN-13 9780792305439
  • Title Quasiconformal Mappings and Sobolev Spaces
  • Author V.M. Gol'dshtein, YU.G. Reshetnyak
  • Format Hardcover
  • Year 1990
  • Pages 372
  • Edition 1990th
  • Publisher Kluwer Academic Publishers
GE_Item_ID:137849117;

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