这本《函数结构》由德国的Hans Triebel所著，内容是：This book deals with the symbiotic relationship between Quarkonial decompositions of functions, Sharp inequalities and embeddings in function spaces, Fractal elliptic operators, Regularity theory for some semi-linear equations.

Preface

Ⅰ Decompositions of Functions

 1 Introduction, heuristics, and preliminaries

 2 Spaces on Rn: the regular case

 3 Spaces on Rn: the general case

 4 An application: the Fubini property

 5 Spaces on domains: localization and Hardy inequalities

 6 Spaces on domains: decompositions

 7 Spaces on manifolds

 8 Taylor expansions of distributions

 9 Traces on sets, related function spaces and their decompositions

Ⅱ Sharp Inequalities

 10 Introduction: Outline of methods and results

 11 Classical inequalities

 12 Envelopes

 13 The critical case

 14 The super-critical case

 15 The sub-critical case

 16 Hardy inequalities

 17 Complements

Ⅲ Fractal Elliptic Operators

 18 Introduction

 19 Spectral theory for the fractal Laplacian

 20 The fractal Dirichlet problem

 21 Spectral theory on manifolds

 22 Isotropic fractals and related function spaces

 23 Isotropic fractal drums

Ⅳ Truncations and Semi-linear Equations

 24 Introduction

 25 Truncations

 26 The Q-operator

 27 Semi-linear equations; the Q-method

References

Symbols

Index