Book contents
- Frontmatter
- Contents
- Notation
- Foreword
- Preface
- Introduction
- 1 Rearrangements
- 2 Main Inequalities on Rn3
- 3 Dirichlet Integral Inequalities
- 4 Geometric Isoperimetric and Sharp Sobolev Inequalities
- 5 Isoperimetric Inequalities for Physical Quantities
- 6 Steiner Symmetrization
- 7 Symmetrization on Spheres, and Hyperbolic and Gauss Spaces
- 8 Convolution and Beyond
- 9 The ⋆-Function
- 10 Comparison Principles for Semilinear Poisson PDEs
- 11 The ⋆-Function in Complex Analysis
- References
- Index
Introduction
Published online by Cambridge University Press: 22 February 2019
- Frontmatter
- Contents
- Notation
- Foreword
- Preface
- Introduction
- 1 Rearrangements
- 2 Main Inequalities on Rn3
- 3 Dirichlet Integral Inequalities
- 4 Geometric Isoperimetric and Sharp Sobolev Inequalities
- 5 Isoperimetric Inequalities for Physical Quantities
- 6 Steiner Symmetrization
- 7 Symmetrization on Spheres, and Hyperbolic and Gauss Spaces
- 8 Convolution and Beyond
- 9 The ⋆-Function
- 10 Comparison Principles for Semilinear Poisson PDEs
- 11 The ⋆-Function in Complex Analysis
- References
- Index
Summary
Professor Walter K. Hayman, FRS, writesa special Foreword where he notes therole ofBaernstein's star function in comple analysis.The Introduction describes the content of each chapter is some detail, and serves as a guide to the reader.
- Type
- Chapter
- Information
- Symmetrization in Analysis , pp. 1 - 15Publisher: Cambridge University PressPrint publication year: 2019