Geometric Qp functions
"This book documents the rich structure of the holomorphic Q functions which are geometric in the sense that they transform naturally under conformal mappings. Particular emphasis is placed on recent developments based on the interaction between geometric function/measure theory and other branc...
| Main Author: | Xiao, Jie, 1963- |
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| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser,
©2006.
Basel ; Boston : [2006] |
| Physical Description: |
1 online resource (x, 240 pages). |
| Series: |
Frontiers in mathematics.
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| Subjects: |
| Summary: |
"This book documents the rich structure of the holomorphic Q functions which are geometric in the sense that they transform naturally under conformal mappings. Particular emphasis is placed on recent developments based on the interaction between geometric function/measure theory and other branches of mathematical analysis, including potential theory, complex variables, harmonic analysis, functional analysis, and operator theory." "Largely self-contained, this book will be an instructional and reference work for advanced courses and research in conformal analysis, geometry, or function spaces."--Jacket. |
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| Item Description: |
Includes bibliographical references (pages 227-237) and index. "This book documents the rich structure of the holomorphic Q functions which are geometric in the sense that they transform naturally under conformal mappings. Particular emphasis is placed on recent developments based on the interaction between geometric function/measure theory and other branches of mathematical analysis, including potential theory, complex variables, harmonic analysis, functional analysis, and operator theory." "Largely self-contained, this book will be an instructional and reference work for advanced courses and research in conformal analysis, geometry, or function spaces."--Jacket. Preliminaries -- Poisson versus Berezin with Generalizations -- Isomorphism, Decomposition and Discreteness -- Invariant Preduality through Hausdorff Capacity -- Cauchy Pairing with Expressions and Extremities -- As Symbols of Hankel and Volterra Operators -- Estimates for Growth and Decay -- Holomorphic Q-Classes on Hyperbolic Riemann Surfaces. University staff and students only. Requires University Computer Account login off-campus. |
| Physical Description: |
1 online resource (x, 240 pages). |
| Bibliography: |
Includes bibliographical references (pages 227-237) and index. |
| ISBN: |
9783764377632 3764377631 3764377623 9783764377625 |
| Access: |
University staff and students only. Requires University Computer Account login off-campus. |