Holomorphic Q Classes
Author(s)
Bibliographic Information
Holomorphic Q Classes
(Lecture notes in mathematics, 1767)
Springer, c2001
Available at 70 libraries
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Note
Includes bibliographical references (p. [105]-110) and index
Description and Table of Contents
Description
ofmathematics is to determine One ofthe fundamental in area problems any underconsideration.As for the distinctvariantsofan complex-functional object for in the oneis equivalentrepresentations analysis, interested, example, studying This is classes of functions. ofthe invariant holomorphic problem conformally the classes. addressed here for Q holomorphic - dimensional anddm the element ofthetwo mea- For E Lebesgue P [0,oo) disk is ofthe class that function in the unit we aholomorphic D, f, sure, say provided Qp 1/2 11-iv-zl = :wED
Table of Contents
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
by "Nielsen BookData"