Holomorphic Q classes /
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Author / Creator: | Xiao, Jie, 1963- |
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Imprint: | New York : Springer, 2001. |
Description: | viii, 112 p. ; 24 cm. |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 1767 Lecture notes in mathematics (Springer-Verlag) ; 1767. |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4526685 |
Table of Contents:
- 1. Fundamental Material
- 1.1. Introduction
- 1.2. Inclusion
- 1.3. Image Area
- 2. Composite Embedding
- 2.1. Existence of BiBloch-Type Mappings
- 2.2. Boundedness and Compactness
- 2.3. Geometric Characterizations
- 3. Series Expansion
- 3.1. Power Series
- 3.2. Partial Sums
- 3.3. Nonnegative Coefficients
- 3.4. Random Series
- 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
- 5. Inner-Outer Structure
- 5.1. Singular Facturs
- 5.2. Blaschke Products
- 5.3. Outer Functions
- 5.4. Canonical Factorization
- 6. Pseudo-holomorphic Extension
- 6.1. Boundary Value Behavior
- 6.2. Weight Condition
- 6.3. Pseudo-holomorphic Continuation
- 6.4. K-property
- 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
- 8. Dyadic Localization
- 8.1. Square Mean Oscillation
- 8.2. Dyadic Model
- 8.3. Wavelets.