Holomorphic Q Classes

著者

• Xiao, Jie

書誌事項

Holomorphic Q Classes

Jie Xiao

（Lecture notes in mathematics, 1767）

Springer, c2001

注記

Includes bibliographical references (p. [105]-110) and index

内容説明・目次

内容説明

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

目次

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

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詳細情報

• NII書誌ID(NCID): BA54097611
• ISBN:
  • 3540426256
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: viii, 112 p.
• 大きさ: 24 cm
• 件名:
  • LCSH : Holomorphic functions
• 親書誌ID:
  • BA00146586