Holomorphic Q classes /

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Bibliographic Details
Author / Creator:Xiao, Jie, 1963-
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
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ISBN:3540426256 (pbk. : alk. paper)
Notes:Includes bibliographical references and index.
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.