Function Spaces and Potential Theory / Edition 1

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More About This Textbook

Overview

"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

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Product Details

  • ISBN-13: 9783540570608
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 7/1/1999
  • Series: Grundlehren der mathematischen Wissenschaften Series , #314
  • Edition description: 1st ed. 1996. Corr. 2nd printing 1999
  • Edition number: 1
  • Pages: 379
  • Product dimensions: 6.40 (w) x 9.30 (h) x 1.30 (d)

Table of Contents

1 Preliminaries 1
2 L[superscript p]-Capacities and Nonlinear Potentials 17
3 Estimates for Bessel and Riesz Potentials 53
4 Besov Spaces and Lizorkin-Triebel Spaces 85
5 Metric Properties of Capacities 129
6 Continuity Properties 155
7 Trace and Imbedding Theorems 187
8 Poincare Type Inequalities 215
9 An Approximation Theorem 233
10 Two Theorems of Netrusov 281
11 Rational and Harmonic Approximation 305
References 329
Index 351
List of Symbols 363
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