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© 1990

Quasiconformal Mappings and Sobolev Spaces

Book

Part of the Mathematics and its Applications (Soviet Series book series (MASS, volume 54)

Table of contents

  1. Front Matter
    Pages i-xix
    PDF
  2. Preliminary Information about Integration Theory
    V. M. Gol’dshtein, Yu. G. Reshetnyak
    Pages 1-54
  3. Functions with Generalized Derivatives
    V. M. Gol’dshtein, Yu. G. Reshetnyak
    Pages 55-181
  4. Nonlinear Capacity
    V. M. Gol’dshtein, Yu. G. Reshetnyak
    Pages 182-245
  5. Density of Extremal Functions in Sobolev Spaces with First Generalized Derivatives
    V. M. Gol’dshtein, Yu. G. Reshetnyak
    Pages 246-271
  6. Change of Variables
    V. M. Gol’dshtein, Yu. G. Reshetnyak
    Pages 272-312
  7. Extension of Differentiable Functions
    V. M. Gol’dshtein, Yu. G. Reshetnyak
    Pages 313-354
  8. Back Matter
    Pages 355-371
    PDF

About this book

Keywords

Sobolev space differential operator generalized function integration singularity

Authors and affiliations

  1. 1.Institute of MathematicsSiberian Branch of the U.S.S.R. Academy of SciencesNovosibirskUSSR

Bibliographic information

  • Book Title Quasiconformal Mappings and Sobolev Spaces
  • Authors V.M. Gol'dshtein
    Yu.G. Reshetnyak
  • Series Title Mathematics and its Applications (Soviet Series
  • DOI https://doi.org/10.1007/978-94-009-1922-8
  • Copyright Information Springer Science+Business Media B.V. 1990
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-7923-0543-9
  • Softcover ISBN 978-94-010-7358-5
  • eBook ISBN 978-94-009-1922-8
  • Series ISSN 0169-6378
  • Edition Number 1
  • Number of Pages XX, 372
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Measure and Integration
    Difference and Functional Equations
    Real Functions
  • Buy this book on publisher's site