**CBMS Regional Conference Series in Mathematics**

Volume: 81;
1993;
202 pp;
Softcover

MSC: Primary 32; 31; 35; 42;

Print ISBN: 978-0-8218-0734-7

Product Code: CBMS/81

List Price: $30.00

Individual Price: $24.00

**Electronic ISBN: 978-1-4704-2441-1
Product Code: CBMS/81.E**

List Price: $30.00

Individual Price: $24.00

# Geometric Analysis and Function Spaces

Share this page *Edited by *
*Steven G. Krantz*

A co-publication of the AMS and CBMS

This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.

#### Table of Contents

# Table of Contents

## Geometric Analysis and Function Spaces

- Cover Cover11 free
- Title v6 free
- Copyright vi7 free
- Table of Contents ix10 free
- Chapter 1. Complex Geometry and Applications 114 free
- 1.1. Nonisotropic Spaces 114
- 1.2. From Classical to Modern Analysis 1730
- 1.3. Finite Type 2639
- 1.4. Aire on Invariant Metrics 4053
- 1.5. Boundary Limits of Holomorphic Functions 4760
- 1.6. A Geometric Look at the Fatou Theorem 5265
- 1.7. Rigidity of Holomorphic Mappings 6881
- 1.8. Rigidity at the Boundary 7588
- 1.9. The Geometric Theory of Boundary Rigidity of Holomorphic Mappings 87100
- 1.10. Automorphism Groups of Domains 92105
- 1.11. Uniform Estimates for Automorphisms 105118

- Chapter 2. Function Spaces and Real Analysis Concepts 113126
- References 179192
- Index 197210
- Back Cover Back Cover1216

#### Readership

Research mathematicians in geometry and analysis. Physicists, astronomers, and engineers in certain areas.

#### Reviews

Being the result of a set of (exciting) lectures, the book provides also many ideas for further developments … will be used … in many graduate classes.

-- Zentralblatt MATH