This book documents the rich structure of the holomorphic Q function spaces which are geometric in the sense that they transform naturally under conformal mappings, with particular emphasis on the last few years' development based on interaction between geometric function and measure theory and other branches of mathematical analysis, including potential theory, harmonic analysis, functional analysis, and operator theory. The contents include: 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. Also included are references, and a useful index. Largely self-contained, the book functions as an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces.
| ISBN: | 9783764377625 |
| Publication date: | 15th September 2006 |
| Author: | Jie Xiao |
| Publisher: | Birkhauser an imprint of Birkhäuser Basel |
| Format: | Paperback |
| Pagination: | 241 pages |
| Series: | Frontiers in Mathematics |
| Genres: |
Geometry |
This book documents the rich structure of the holomorphic Q function spaces which are geometric in the sense that they transform naturally under conformal mappings, with particular emphasis on the last few years' development based on interaction between geometric function and measure theory and other branches of mathematical analysis, including potential theory, harmonic analysis, functional analysis, and operator theory. The contents include: 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.
Geometric Qp Functions features in the following genres: Geometry
Paperback. Not Available.
Geometric Qp Functions was written by Jie Xiao and published by Birkhauser an imprint of Birkhäuser Basel
Geometric Qp Functions has 241 pages
Yes it is part of Frontiers in Mathematics series