Geometric Q[p] functions

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Geometric Q[p] functions / Jie Xiao

資料種別:: 図書
出版情報:: Basel : Birkhäuser Verlag, c2006
形態:: x, 240 p. ; 24 cm
シリーズ名:: Frontiers in mathematics <BA65984918>
著者名:: Xiao, Jie, 1963-
ISBN:: 9783764377625 [3764377623]
書誌ID:: BA78496779

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その他の標題:

Geometric Qp functions

注記:

[p] is subscript
Includes bibliographical references and index

主題:

Functions of complex variables; Holomorphic functions; Integration, Functional

言語:

英語

目次情報:

Preface

Preliminaries / 1：

Background / 1.1：

Logarithmic Conformal Mappings / 1.2：

Conformal Domains and Superpositions / 1.3：

Descriptions via Harmonic Majorants / 1.4：

Regularity for the Euler-Lagrange Equation / 1.5：

Notes / 1.6：

Poisson versus Berezin with Generalizations / 2：

Boundary Value and Brownian Motion / 2.1：

Derivative-free Module via Poisson Extension / 2.2：

Derivative-free Module via Berezin Transformation / 2.3：

Mixture of Derivative and Quotient / 2.4：

Dirichlet Double Integral without Derivative / 2.5：

Isomorphism, Decomposition and Discreteness / 2.6：

Carleson Measures under an Integral Operator / 3.1：

Isomorphism to a Holomorphic Morrey Space / 3.2：

Decomposition via Bergman Style Kernels / 3.3：

Discreteness by Derivatives / 3.4：

Characterization in Terms of a Conjugate Pair / 3.5：

Invariant Preduality through Hausdorff Capacity / 3.6：

Nonlinear Integrals and Maximal Operators / 4.1：

Adams Type Dualities / 4.2：

Quadratic Tent Spaces / 4.3：

Preduals under Invariant Pairing / 4.4：

Invariant Duals of Vanishing Classes / 4.5：

Cauchy Pairing with Expressions and Extremities / 4.6：

Background on Cauchy Pairing / 5.1：

Cauchy Duality by Dot Product / 5.2：

Atom-like Representations / 5.3：

Extreme Points of Unit Balls / 5.4：

As Symbols of Hankel and Volterra Operators / 5.5：

Hankel and Volterra from Small to Large Spaces / 6.1：

Carleson Embeddings for Dirichlet Spaces / 6.2：

More on Carleson Embeddings for Dirichlet Spaces / 6.3：

Hankel and Volterra on Dirichlet Spaces / 6.4：

Estimates for Growth and Decay / 6.5：

Convexity Inequalities / 7.1：

Exponential Integrabilities / 7.2：

Hadamard Convolutions / 7.3：

Characteristic Bounds of Derivatives / 7.4：

Holomorphic Q-Classes on Hyperbolic Riemann Surfaces / 7.5：

Basics about Riemann Surfaces / 8.1：

Area and Seminorm Inequalities / 8.2：

Intermediate Setting - BMOA Class / 8.3：

Sharpness / 8.4：

Limiting Case - Bloch Classes / 8.5：

Bibliography / 8.6：

Index

Preface

Preliminaries / 1：

Background / 1.1：

Logarithmic Conformal Mappings / 1.2：

Conformal Domains and Superpositions / 1.3：

Descriptions via Harmonic Majorants / 1.4：

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