Xiao Holomorphic Q Classes

2001
ISBN: 978-3-540-45434-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1767, 104 Seiten, eBook

Reihe: Lecture Notes in Mathematics

Zielgruppe

Research

Autoren/Hrsg.

Xiao, Jie

Inhaltsverzeichnis

1. Fundamental Material
1.1 Introduction
1.2 Inclusion
1.3 Image Area
Notes

2. Composite Embedding
2.1 Existence of BiBloch-Type Mappings
2.2 Boundedness and Compactness
2.3 Geometric Characterizations
Notes

3. Series Expansion
3.1 Power Series
3.2 Partial Sums
3.3 Nonnegative Coefficients
3.4 Random Series
Notes

4. Modified Carleson Measures
4.1 An Integral Form
4.2 Relating to Mean Lipschitz Spaces
4.3 Comparison with Besov Spaces
4.4 Mean Growth
Notes

5. Inner-Outer Structure
5.1 Singular Facturs
5.2 Blaschke Products
5.3 Outer Functions
5.4 Canonical Factorization
Notes

6. Pseudo-holomorphic Extension
6.1 Boundary Value Behavior
6.2 Weight Condition
6.3 Pseudo-holomorphic Continuation
6.4 K-property
Notes

7. Representation via /bar/partial-equation
7.1 Harmonic Extension
7.2 /bar/partial-estimates
7.3 Fefferman-Stein Type Decomposition
7.4 Corona Data and Solutions
7.5 Interpolating Sequences
Notes

8. Dyadic Localization
8.1 Square Mean Oscillation
8.2 Dyadic Model
8.3 Wavelets
Notes

References

Index