Holomorphic Q Classes

Author(s)

• Xiao, Jie

Bibliographic Information

Holomorphic Q Classes

Jie Xiao

（Lecture notes in mathematics, 1767）

Springer, c2001

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"

Details

• NCID: BA54097611
• ISBN:
  • 3540426256
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: viii, 112 p.
• Size: 24 cm
• Subject Headings:
  • LCSH : Holomorphic functions
• Parent Bibliography ID:
  • BA00146586