Geometric Qp Functions (Frontiers in Mathematics)

Xiao, Jie

ISBN 10: 3764377623 / ISBN 13: 9783764377625

Editore: Birkhäuser, 2006

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Dati bibliografici

• Titolo: Geometric Qp Functions (Frontiers in Mathematics)
• Editore: Birkhäuser
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 3764377623
• ISBN 13: 9783764377625
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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 recent 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. Largely self-contained, the book functions as an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces. Self-contained, the book functions as an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces.

Contenuti

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.